Neil J. A. Sloane: Publication List
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- 1. Hamiltonian cycles in a graph of degree 4,
N. J. A. Sloane,
J. Combinatorial Theory,
6 (1969),
pp. 311-312.
- 2. Restrictions on Weight Distribution of Reed-Muller Codes,
E. R. Berlekamp and N. J. A. Sloane,
Information and Control,
14 (1969),
pp. 442-456.
- 3. Codes for Multislit Spectrometry,
N. J. A. Sloane, T. Fine, P. G. Phillips and M. Harwit,
Applied Optics,
8 (1969),
pp. 2103-2106.
- 4. Doubly Multiplexed Dispersive Spectrometers,
M. Harwit, P. G. Phillips, T. Fine and N. J. A. Sloane,
Applied Optics,
9 (1970),
pp. 1149-1154.
- 5. The Enumeration of Rooted Trees by Total Height,
J. Riordan and N. J. A. Sloane,
J. Australian Math. Soc.,
10 (1969),
pp. 278-282.
- 6. The Weight Enumerator for Second-Order Reed-Muller Codes,
N. J. A. Sloane and E. R. Berlekamp,
IEEE Trans. Information Theory,
IT-16 (1970),
pp. 745-751.
- 7. New Sphere Packings in Dimensions 9-15,
J. Leech and N. J. A. Sloane,
Bull. Amer. Math. Soc.,
76 (1970),
pp. 1006-1010.
- 8. Review of `Proof Techniques in Graph Theory', edited by F. Harary,
N. J. A. Sloane,
Mathematics of Computation,
24 (1971),
pp. 997-998.
- 9. New Methods for Grating Spectrometers,
N. J. A. Sloane, T. Fine and P. G. Phillips,
Optical Spectra,
4 (1970),
pp. 50-53.
- 10. A New Family of Single-Error Correcting Codes,
N. J. A. Sloane and D. S. Whitehead,
IEEE Trans. Information Theory,
IT-16 (1970),
pp. 717-719.
- 11. A New Family of Nonlinear Codes Obtained from Conference Matrices,
N. J. A. Sloane and J. J. Seidel,
Annals New York Academy of Sciences,
175 (1970),
pp. 363-365.
- 12. New Sphere Packings in More Than Thirty-Two Dimensions,
J. Leech and N. J. A. Sloane,
Proceedings Second Chapel Hill Conference on Combinatorial Mathematics and its Applications,
Univ. of North Carolina, Chapel Hill, NC,
1970,
pp. 345-355.
- 13. On the Existence of a Projective Plane of Order 10,
F. J. MacWilliams, N. J. A. Sloane and J. G. Thompson,
J. Combinatorial Theory, Series A,
14 (1973),
pp. 66-78.
- 14. Sphere Packing and Error-Correcting Codes,
J. Leech and N. J. A. Sloane,
Canad. J. Math.,
23 (1971),
pp. 718-745,
A revised version appears as Chapter 5 of ``Sphere Packings, Lattices and Groups'' by J. H. Conway and N. J. A. Sloane, Springer-Verlag, NY, 1988.
- 15. On the Enumeration of Cosets of First-Order Reed-Muller Codes,
N. J. A. Sloane and R. J. Dick,
Proceedings IEEE International Conference on Communications, Montreal 1971,
IEEE Press, NY,
7 (1971),
pp. 36-2 to 36-6.
- 16. A Survey of Recent Results in Constructive Coding Theory,
N. J. A. Sloane,
Proceedings IEEE National Telemetering Conference 1971,
IEEE Press, NY,
1971,
pp. 218-227.
- 17. A New Multiplexing Spectrometer with Large Throughput,
P. G. Phillips, M. Harwit and N. J. A. Sloane,
Aspen International Conference on Fourier Spectroscopy, 1970,
G. A. Vanasse, A. T. Stair, Jr. and D. J. Baker (editors),
Air Force Cambridge Research Laboratories, Air Force Systems Command, Bedford, MA,
1971,
pp. 441-444.
- 18. Reducing the Number of Measurements in Doubly Multiplexed Spectrometers,
N. J. A. Sloane,
Aspen International Conference on Fourier Spectroscopy, 1970,
G. A. Vanasse, A. T. Stair, Jr. and D. J. Baker (editors),
Air Force Cambridge Research Laboratories, Air Force Systems Command, Bedford, MA,
1971,
pp. 435-440.
- 19. Coset Analysis of Reed-Muller Codes via Translates of Finite Vector Spaces,
R. P. Kurshan and N. J. A. Sloane,
Information and Control,
20 (1972),
pp. 410-414.
- 20. Some Doubly Exponential Sequences,
A. V. Aho and N. J. A. Sloane,
Fibonacci Quarterly,
11 (1973),
pp. 429-437.
- 21. On Finding the Paths Through A Network,
N. J. A. Sloane,
Bell Sys. Tech. J.,
51 (1972),
pp. 371-390.
- 22. Gleason's Theorem on Self-Dual Codes,
E. R. Berlekamp, F. J. MacWilliams and N. J. A. Sloane,
IEEE Trans. Information Theory,
IT-18 (1972),
pp. 409-414.
- 23. New Binary Codes,
N. J. A. Sloane, R. M. Reddy and C. L. Chen,
IEEE Trans. Information Theory,
IT-18 (1972),
pp. 503-510.
- 24. Good Self-Dual Codes Exist,
F. J. MacWilliams, N. J. A. Sloane and J. G. Thompson,
Discrete Math.,
3 (1972),
pp. 153-162.
- 25. A Survey of Constructive Coding Theory, and a Table of Binary Codes of Highest Known Rate,
N. J. A. Sloane,
Discrete Math.,
3 (1972),
pp. 265-294.
Reprinted in ``Key Papers in the Development of Coding Theory'', E. R. Berlekamp, Ed., IEEE Press, NY, 1974, pp. 277-285. Russian translation in ``Cybernetics Collection'', New Series, No. 10, A. A. Ljapunov and O. B. Lupanov, Eds., Mir, Moscow, 1973, pp. 5-32.
- 26. The MacWilliams Identities for Nonlinear Codes,
F. J. MacWilliams, N. J. A. Sloane and J.-M. Goethals,
Bell Sys. Tech. J.,
51 (1972),
pp. 803-819,
Reprinted in ``Algebraic Coding Theory - History and Development'', I. F. Blake, Ed., Dowden, Hutchinson and Ross, Stroudsberg, PA, 1973, pp. 263-279.
- 27. Generalizations of Gleason's Theorem on Weight Enumerators of Self-Dual Codes,
F. J. MacWilliams, C. L. Mallows and N. J. A. Sloane,
IEEE Trans. Information Theory,
IT-18 (1972),
pp. 794-805.
- 28. Sphere Packings Constructed from BCH and Justesen Codes,
N. J. A. Sloane,
Mathematika,
19 (1972),
pp. 183-190.
- 29. On the Invariants of a Linear Group of Order 336,
C. L. Mallows and N. J. A. Sloane,
Proc. Cambridge Philosophical Soc.,
74 (1973),
pp. 435-440.
- 30. An Upper Bound for Self-Dual Codes,
C. L. Mallows and N. J. A. Sloane,
Information and Control,
22 (1973),
pp. 188-200.
- 31. Is There a (72,36) d = 16 Self-Dual Code?,
N. J. A. Sloane,
IEEE Trans. Information Theory,
IT-19 (1973),
page 251.
- 32. What are the Latin Square Groups?,
J. J. Carroll, G. A. Fisher, A. M. Odlyzko and N. J. A. Sloane,
Amer. Math. Monthly,
80:9 (1973),
pp. 1045-1046.
- 33. The Persistence of a Number,
N. J. A. Sloane,
J. Recreational Math,
6 (1973),
pp. 97-98.
- 34. The Orchard Problem,
S. A. Burr, B. Gruenbaum and N. J. A. Sloane,
Geometriae Dedicata,
2 (1974),
pp. 397-424.
- 35. Weight Enumerators of Self-Orthogonal Codes,
C. L. Mallows and N. J. A. Sloane,
Discrete Math.,
9 (1974),
pp. 391-400.
- 36. Codes Which Detect Deception,
E. N. Gilbert, F. J. MacWilliams and N. J. A. Sloane,
Bell Sys. Tech. J.,
53 (March 1974),
pp. 405-424.
- 37. A Short Course on Error-Correcting Codes (Lectures given at the International Centre for Mechanical Sciences, Udine, Italy, 1973),
N. J. A. Sloane,
Springer-Verlag,
NY,
1975, 78pp. (ISBN 3-211-81303-9).
- 38. A Handbook of Integer Sequences,
N. J. A. Sloane,
Academic Press,
NY,
1973;
Introductory chapters.
- 39. On the Classification and Enumeration of Self-Dual Codes,
V. Pless and N. J. A. Sloane,
J. Combinatorial Theory, Series A,
18 (1975),
pp. 313-335.
- 40. Binary Self-Dual Codes of Length 24,
V. Pless and N. J. A. Sloane,
Bull. Amer. Math. Soc.,
80 (1974),
pp. 1173-1178.
- 41. Upper Bounds for Modular Forms, Lattices, and Codes,
C. L. Mallows, A. M. Odlyzko and N. J. A. Sloane,
J. Algebra,
36 (1975),
pp. 68-76.
- 42. Weight Enumerators of Codes,
N. J. A. Sloane,
Combinatorics,
M. Hall, Jr. and J. H. van Lint (editors),
Mathematical Centre, Amsterdam, and Reidel Publishing Co., Dordrecht, Holland,
1975,
pp. 115-142.
- 43. Two-Graphs, Switching Classes, and Euler Graphs are Equal in Number,
C. L. Mallows and N. J. A. Sloane,
SIAM J. Appl. Math.,
28 (1975),
pp. 876-880.
- 44. Complete Classification of (24,12) and (22,11) Self-Dual Codes,
V. Pless and N. J. A. Sloane,
M.I.T., Cambridge, MA,
June 1974.
- 45. Find the Next Term,
N. J. A. Sloane,
J. Recreational Math.,
7 (1974),
page 146.
- 46. Error-Correcting Codes and Invariant Theory: New Applications of a Nineteenth-Century Technique,
N. J. A. Sloane,
Amer. Math. Monthly,
84 (1977),
pp. 82-107.
- 47. Masks for Hadamard Transform Optics, and Weighing Designs,
N. J. A. Sloane and M. Harwit,
Applied Optics,
15 (1976),
pp. 107-114.
- 48. An Introduction to Association Schemes and Coding Theory,
N. J. A. Sloane,
Theory and Applications of Special Functions,
R. A. Askey (editor),
Academic Press,
NY,
1975,
pp. 225-260.
- 49. Errors in Hadamard Spectroscopy or Imaging Caused by Imperfect Masks,
M. H. Tai, M. Harwit and N. J. A. Sloane,
Applied Optics,
14 (1975),
pp. 2678-2686.
- 50. A Simple Description of an Error-Correcting Code for High Density Magnetic Tape,
N. J. A. Sloane,
Bell Sys. Tech. J.,
55 (1976),
pp. 157-165.
- 51. Self-Dual Codes Over GF(3),
C. L. Mallows, V. Pless and N. J. A. Sloane,
SIAM J. Appl. Math.,
31 (1976),
pp. 649-666.
- 52. Pseudo-Random Sequences and Arrays,
F. J. MacWilliams and N. J. A. Sloane,
Proc. IEEE,
64 (1976),
pp. 1715-1729.
- 53. The Theory of Error-Correcting Codes,
F. J. MacWilliams and N. J. A. Sloane,
North-Holland,
Amsterdam,
1977, 762 pp.,
Russian translation ``Teoriya kodov, ispravlyayushchikh oshibki'' by I. I. Grushko and V. A. Zinov'ev, edited by L. A. Bassalygo, published by Svyaz, Moscow, 1979.
- 54. Bounds for Binary Codes of Length Less than 25,
M. R. Best, A. E. Brouwer, F. J. MacWilliams, A. M. Odlyzko and N. J. A. Sloane,
IEEE Trans. Information Theory,
IT-24 (1978),
pp. 81-93,
Russian translation in Kibern. Sb., Nov. Ser., Vol. 17 (1980), 28-59.
- 55. Self-Dual Codes Over GF(4),
F. J. MacWilliams, A. M. Odlyzko, N. J. A. Sloane and H. N. Ward,
J. Combinatorial Theory, Series A,
25 (1978),
pp. 288-318.
- 56. Assessment of the National Bureau of Standards Proposed Federal Data Encryption Standard,
R. Morris, N. J. A. Sloane and A. D. Wyner,
Cryptologia,
1 (1977),
pp. 281-306.
- 57. Codes over GF(4) and Complex Lattices,
N. J. A. Sloane,
J. Algebra,
52 (1978),
pp. 168-181.
- 58. Binary Codes, Lattices, and Sphere-Packings,
N. J. A. Sloane,
Combinatorial Surveys: Proceedings of the Sixth British Combinatorial Conference,
P. J. Cameron (editor),
Academic Press,
NY,
1977,
pp. 117-164,
Russian translation in ``Mathematics: New in Foreign Science'', Vol. 19 (1980), pp. 219-249.
- 59. Extremal Self-Dual Lattices Exist Only in Dimensions 1-8, 12, 14, 15, 23 and 24,
J. H. Conway, A. M. Odlyzko and N. J. A. Sloane,
Mathematika,
25 (1978),
pp. 36-43,
A revised version appears as Chapter 19 of ``Sphere Packings, Lattices and Groups'' by J. H. Conway and N. J. A. Sloane, Springer-Verlag, NY, 1988.
- 60. On Pseudo-Random Arrays,
J. H. van Lint, F. J. MacWilliams and N. J. A. Sloane,
SIAM J. Appl. Math.,
36 (1979),
pp. 62-72.
- 61. Most Primitive Groups have Messy Invariants,
W. C. Huffman and N. J. A. Sloane,
Advances in Math.,
32 (1979),
pp. 118-127.
- 62. Systematic Errors in Hadamard Transform Optics,
N. J. A. Sloane, M. Harwit and M. H. Tai,
Applied Optics,
17 (1978),
pp. 2991-3002.
- 63. Multiplexing Methods in Spectroscopy,
N. J. A. Sloane,
Mathematics Magazine,
52 (1979),
pp. 71-80.
- 64. Self-Dual Codes and Lattices,
N. J. A. Sloane,
Relations Between Combinatorics and Other Parts of Mathematics.,
Proc. Symp. Pure Math., Vol. 34, American Mathematical Society,
Providence, RI,
1979,
pp. 273-308.
- 65. Self-Dual Codes over GF(3) and GF(4) of Length Not Exceeding 16,
J. H. Conway, V. Pless and N. J. A. Sloane,
IEEE Trans. Information Theory,
IT-25 (1979),
pp. 312-322.
- 66. New Bounds on the Number of Unit Spheres That Can Touch a Unit Sphere in n Dimensions,
A. M. Odlyzko and N. J. A. Sloane,
J. Combinatorial Theory, Series A,
26 (1979),
pp. 210-214,
A revised version appears as Chapter 13 of ``Sphere Packings, Lattices and Groups'' by J. H. Conway and N. J. A. Sloane, Springer-Verlag, NY, 1988.
- 67. Hadamard Transform Optics,
M. Harwit and N. J. A. Sloane,
Academic Press,
NY,
1979, 249 pp,
ISBN 0-12-330050-9;
https://archive.org/details/in.ernet.dli.2015.134264/mode/2up
- 68. Lower Bounds for Constant Weight Codes,
R. L. Graham and N. J. A. Sloane,
IEEE Trans. Information Theory,
IT-26 (1980),
pp. 37-43.
- 69. Ternary Codes of Minimum Weight 6, and the Classification of Self-Dual Codes of Length 20,
V. Pless, N. J. A. Sloane and H. N. Ward,
IEEE Trans. Information Theory,
IT-26 (1980),
pp. 305-316.
- 70. Error-Correcting Codes and Cryptography,
N. J. A. Sloane,
The Mathematical Gardner,
D. A. Klarner (editor),
Prindle, Weber & Schmidt,
Boston, MA,
1981,
pp. 346-382,
Reprinted in ``Cryptologia'', Vol. 6 (1982), 128-153 and 258-278.
- 71. Uniqueness of Certain Spherical Codes,
E. Bannai and N. J. A. Sloane,
Canad. J. Math.,
33 (1981),
pp. 437-449,
A revised version appears as Chapter 14 of ``Sphere Packings, Lattices and Groups'' by J. H. Conway and N. J. A. Sloane, Springer-Verlag, NY, 1988.
- 72. On Constant Weight Codes and Harmonious Graphs,
R. L. Graham and N. J. A. Sloane,
Proceedings West Coast Conference on Combinatorics, Graph Theory and Computing, September 1979,
Utilitas Math. Pub. Co.,
Winnipeg,
1980,
pp. 25-40.
- 73. On Additive Bases and Harmonious Graphs,
R. L. Graham and N. J. A. Sloane,
SIAM J. Algebraic and Discrete Methods,
1 (1980),
pp. 382-404.
- 74. The Nonexistence of a Certain Steiner System S(3,12,112),
N. J. A. Sloane and J. G. Thompson,
J. Combinatorial Theory, Series A,
30 (1981),
pp. 209-236.
- 75. A Note on the Leech Lattice as a Code for the Gaussian Channel,
N. J. A. Sloane,
Information and Control,
46 (1980),
pp. 270-272.
- 76. On Ternary Self-Dual Codes of Length 24,
J. S. Leon, V. Pless and N. J. A. Sloane,
IEEE Trans. Information Theory,
IT-27 (1981),
pp. 176-180.
- 77. Tables of Sphere Packings and Spherical Codes,
N. J. A. Sloane,
IEEE Trans. Information Theory,
IT-27 (1981),
pp. 327-338.
- 78. On Exceptions of Integral Quadratic Forms,
A. M. Odlyzko and N. J. A. Sloane,
J. Reine Angew. Math.,
321 (1981),
pp. 212-216.
- 79. Carbon-13 Nuclear Magnetic Resonance Study of the Hydrolysis of Bisphenol A Polycarbonate,
F. C. Schilling, W. M. Ringo, Jr., N. J. A. Sloane and F. A. Bovey,
Macromolecules,
14 (1980),
pp. 532-537.
- 80. Weight Enumerators of Self-Orthogonal Codes Over GF(3),
C. L. Mallows and N. J. A. Sloane,
SIAM J. Algebraic and Discrete Methods,
2 (1981),
pp. 452-460.
- 81. On the Enumeration of Lattices of Determinant One,
J. H. Conway and N. J. A. Sloane,
J. Number Theory,
15 (1982),
pp. 83-94.
- 82. Voronoi Regions of Lattices, Second Moments of Polytopes, and Quantization,
J. H. Conway and N. J. A. Sloane,
IEEE Trans. Information Theory,
IT-28 (1982),
pp. 211-226,
A revised version appears as Chapter 21 of ``Sphere Packings, Lattices and Groups'' by J. H. Conway and N. J. A. Sloane, Springer-Verlag, NY, 1988 Reprinted in ``Vector Quantization'', H. Abut, Ed., IEEE Press, NY, 1990, pp. 118-133..
- 83. Fast Quantizing and Decoding Algorithms for Lattice Quantizers and Codes,
J. H. Conway and N. J. A. Sloane,
IEEE Trans. Information Theory,
IT-28 (1982),
pp. 227-232,
Reprinted in ``Vector Quantization'', H. Abut, Ed., IEEE Press, NY, 1990, pp. 134-139.
- 84. Designing an Auditing Procedure, or How to Keep Bank Managers on Their Toes,
C. L. Mallows and N. J. A. Sloane,
Mathematics Magazine,
57 (1984),
pp. 142-151.
- 85. Hadamard and Other Discrete Transforms in Spectroscopy,
N. J. A. Sloane,
Fourier, Hadamard and Hilbert Transforms in Chemistry,
A. G. Marshall (editor),
Plenum Publishing Co., NY,
1982,
pp. 45-67.
- 86. Twenty-Three Constructions for the Leech Lattice,
J. H. Conway and N. J. A. Sloane,
Proc. Royal Society London, Series A,
381 (1982),
pp. 275-283,
A revised version appears as Chapter 24 of ``Sphere Packings, Lattices and Groups'' by J. H. Conway and N. J. A. Sloane, Springer-Verlag, NY, 1988.
- 87. The Covering Radius of the Leech Lattice,
J. H. Conway, R. A. Parker and N. J. A. Sloane,
Proc. Royal Society London, Series A,
380 (1982),
pp. 261-290,
A revised version appears as Chapter 23 of ``Sphere Packings, Lattices and Groups'' by J. H. Conway and N. J. A. Sloane, Springer-Verlag, NY, 1988.
- 88. The Detection of Long Error Bursts During Transmission of Video Signals,
K. Janac and N. J. A. Sloane,
Bell Sys. Tech. J.,
61 (1982),
pp. 1911-1917.
- 89.
Self-Dual Codes Over GF(5),
J. S. Leon, V. Pless and N. J. A. Sloane,
J. Combinatorial Theory, Series A,
32 (1982),
pp. 178-194.
- 90. Recent Bounds for Sphere Packings and Related Problems Obtained by Linear Programming and Other Methods,
N. J. A. Sloane,
Papers in Analysis, Algebra and Statistics, Contemporary Math., Vol. 9,
R. Lidl (editor),
Amer. Math. Soc.,
Providence, RI,
1982,
pp. 153-185,
A revised version appears as Chapter 9 of ``Sphere Packings, Lattices and Groups'' by J. H. Conway and N. J. A. Sloane, Springer-Verlag, NY, 1988.
- 91. Lorentzian Forms for the Leech Lattice,
J. H. Conway and N. J. A. Sloane,
Bull. Amer. Math. Soc.,
6 (1982),
pp. 215-217,
A revised version appears as Chapter 26 of ``Sphere Packings, Lattices and Groups'' by J. H. Conway and N. J. A. Sloane, Springer-Verlag, NY, 1988.
- 92. On a Problem of Ryskov Concerning Lattice Coverings,
R. P. Bambah and N. J. A. Sloane,
Acta Arithmetica,
42 (1982),
pp. 107-109.
- 93. Fast 4- and 8-Dimensional Quantizers and Decoders,
J. H. Conway and N. J. A. Sloane,
National Telecomm. Conf. Record - 1981,
IEEE Press, NY,
3 (1981),
pp. F4.2.1-F4.2.4.
- 94. A Theta-Function Identity for Nonlattice Packings,
A. M. Odlyzko and N. J. A. Sloane,
Studia Scient. Math. Hungarica,
5 (1980),
pp. 461-465.
- 95. Laminated Lattices,
J. H. Conway and N. J. A. Sloane,
Annals of Math.,
116 (1982),
pp. 593-620,
A revised version appears as Chapter 6 of ``Sphere Packings, Lattices and Groups'' by J. H. Conway and N. J. A. Sloane, Springer-Verlag, NY, 1988.
- 96. New Lattice Packings of Spheres,
E. S. Barnes and N. J. A. Sloane,
Canad. J. Math.,
35 (1983),
pp. 117-130.
- 97. The Optimal Lattice Quantizer in Three Dimensions
E. S. Barnes and N. J. A. Sloane,
SIAM J. Algebraic Discrete Methods,
4 (1983),
pp. 30-41.
- 98. Cyclic Self-Dual Codes,
N. J. A. Sloane and J. G. Thompson,
IEEE Trans. Information Theory,
IT-29 (1983),
pp. 364-366.
- 99. A Monster Lie Algebra?,
R. E. Borcherds, J. H. Conway, L. Queen and N. J. A. Sloane,
Advances in Math.,
53 (1984),
pp. 75-79,
A revised version appears as Chapter 30 of ``Sphere Packings, Lattices and Groups'' by J. H. Conway and N. J. A. Sloane, Springer-Verlag, NY, 1988.
- 100. Leech Roots and Vinberg Groups,
J. H. Conway and N. J. A. Sloane,
Proc. Royal Society London, Series A,
384 (1982),
pp. 233-258,
A revised version appears as Chapter 28 of ``Sphere Packings, Lattices and Groups'' by J. H. Conway and N. J. A. Sloane, Springer-Verlag, NY, 1988.
- 101.
A Statistical Theory of Directional Isomerism in Polymer Chains and Its Applications to Polyvinylidene Fluoride,
R. E. Cais and N. J. A. Sloane,
Polymer,
24 (1983),
pp. 179-187.
- 102.
The Unimodular Lattices of Dimension up to 23 and the Minkowski-Siegel Mass Constants,
J. H. Conway and N. J. A. Sloane,
European J. Combinatorics,
3 (1982),
pp. 219-231.
- 103.
Further Lattice Packings in High Dimensions,
A. Bos, J. H. Conway and N. J. A. Sloane,
Mathematika,
29 (1982),
pp. 171-180.
- 104.
A Fast Encoding Method for Lattice Codes and Quantizers,
J. H. Conway and N. J. A. Sloane,
IEEE Trans. Information Theory,
IT-29 (1983),
pp. 820-824.
- 105.
Encrypting by Random Rotations,
N. J. A. Sloane,
in Cryptography: Proceedings of Workshop on Cryptography, Burg Feuerstein, Germany, March 29-April 1, 1982,
Lecture Notes in Computer Science, Vol. 149, Springer-Verlag, NY,
1983,
pp. 71-128.
- 106.
Complex and Integral Laminated Lattices,
J. H. Conway and N. J. A. Sloane,
Trans. Amer. Math. Soc.,
280 (1983),
pp. 463-490.
- 107.
The Coxeter-Todd Lattice, The Mitchell Group and Related Sphere Packings,
J. H. Conway and N. J. A. Sloane,
Math. Proc. Comb. Phil. Soc.,
93 (1983),
pp. 421-440.
- 108. On the Voronoi Regions of Certain Lattices,
J. H. Conway and N. J. A. Sloane,
SIAM J. Algebraic Discrete Methods,
5 (1984),
pp. 294-305.
- 109. The Packing of Spheres,
N. J. A. Sloane,
Scientific American,
250 (January, 1984),
pp. 116-125,
Also ``Les Empilements de Spheres'', Pour la Science, Mars, 1984, pp. 44-55; ``Kugelpackungen im Raum'', Spektrum der Wissenschaft, March, 1984, pp. 120-131; ``Empaquetamiento de Esferas'', Investigacion y Ciencia, March 1984, pp. 88-99.
- 110. Anti-Hadamard Matrices,
R. L. Graham and N. J. A. Sloane,
Linear Algebra and Applications,
62 (1984),
pp. 113-137.
- 111.
Shift-Register Synthesis (Modulo m)
J. A. Reeds and N. J. A. Sloane,
SIAM J. Computing,
14 (1985),
pp. 505-513.
- 112. On the Classification of Integral Quadratic Forms,
J. H. Conway and N. J. A. Sloane,
Sphere Packings, Lattices and Groups,
Springer-Verlag, NY,
Chapter 15, 1988,
pp. 352-405.
- 113. Four-Dimensional Modulation with an Eight-State Trellis Code,
A. R. Calderbank and N. J. A. Sloane,
AT&T Tech. J.,
64 (1985),
pp. 1005-1018.
- 114. On the Covering Radius of Codes
R. L. Graham and N. J. A. Sloane,
IEEE Trans. Information Theory,
IT-31 (1985),
pp. 385-401.
- 115. A Lower Bound on the Average Error of Vector Quantizers,
J. H. Conway and N. J. A. Sloane,
IEEE Trans. Information Theory,
IT-31 (1985),
pp. 106-109.
- 116. Soft Decoding Techniques for Codes and Lattices, Including the Golay Code and the Leech Lattice,
J. H. Conway and N. J. A. Sloane,
IEEE Trans. Information Theory,
IT-32 (1986),
pp. 41-50.
- 117. Magic Numbers in Polygonal and Polyhedral Clusters,
B. K. Teo and N. J. A. Sloane,
Inorganic Chemistry,
24 (1985),
pp. 4545-4558.
- 118. New Permutation Codes Using Hadamard Unscrambling,
M. R. Schroeder and N. J. A. Sloane,
IEEE Trans. Information Theory,
IT-33 (1987),
pp. 144-146.
- 119. Theta
Series and Magic Numbers for Close-Packed Spherical Clusters,
N. J. A. Sloane and B. K. Teo,
J. Chem. Phys.,
83 (1985),
pp. 6520-6534.
- 120. The Covering Radius of Cyclic Codes of Length Up To 31,
D. E. Downie and N. J. A. Sloane,
IEEE Trans. Information Theory,
IT-31 (1985),
pp. 446-447.
- 121. New Trellis Codes Based on Lattices and Cosets,
A. R. Calderbank and N. J. A. Sloane,
IEEE Trans. Information Theory,
IT-33 (1987),
pp. 177-195.
- 122. Lexicographic Codes: Error-Correcting Codes from Game Theory,
J. H. Conway and N. J. A. Sloane,
IEEE Trans. Information Theory,
IT-32 (1986),
pp. 337-348.
- 123. A New Family of Codes for Dial-Up Voice Lines,
A. R. Calderbank and N. J. A. Sloane,
Proc. IEEE Conf. Global Commun. Globecom '84,
IEEE Press,
NY,
1984,
pp. 673-676.
- 124. Recouvrements
d'Espaces de Hamming Binaires,
A. Lobstein, G. D. Cohen and N. J. A. Sloane,
C. R. Acad. Sci. Paris, Série I,
301 (1985), 135-138.
- 125. Atomic Arrangements and Electronic Requirements for Close-Packed Circular and Spherical Clusters,
B. K. Teo and N. J. A. Sloane,
Inorganic Chemistry,
25 (1986),
pp. 2315-2322.
- 126. Decoding Techniques for Multi-Dimensional Codes,
J. H. Conway and N. J. A. Sloane,
U. S. Patent No. 4,507,648, March 26, 1985.
- 127. Further Results on the Covering Radius of Codes,
G. D. Cohen, A. C. Lobstein and N. J. A. Sloane,
IEEE Trans. Information Theory,
IT-32 (1986),
pp. 680-694.
- 128. On a Conjecture Concerning Coverings of Hamming Space,
G. D. Cohen, A. C. Lobstein and N. J. A. Sloane,
Applied Algebra, Algorithmics and Error-Correcting Codes, Lecture Notes in Computer Science,
A. Poli (editor),
Springer-Verlag,
NY,
228 (1986),
pp. 79-90.
- 129.
A New Approach to the Covering Radius of Codes,
N. J. A. Sloane,
J. Combinatorial Theory, Series A,
42 (1986),
pp. 61-86.
- 130. Unsolved Problems Related to the Covering Radius of Codes,
N. J. A. Sloane,
Open Problems in Communication and Computation,
T. M. Cover and B. Gopinath (editors),
Springer-Verlag,
NY,
1987,
pp. 51-56.
- 131. My Friend MACSYMA,
N. J. A. Sloane,
Notices Amer. Math. Soc.,
33 (1986),
pp. 40-43 and 318.
- 132. An Eight-Dimensional Trellis Code,
A. R. Calderbank and N. J. A. Sloane,
Proc. IEEE,
74 (1986),
pp. 757-759.
- 133.
On the Covering Radius Problem for Codes: (I) Bounds on Normalized Covering Radius,
K. E. Kilby and N. J. A. Sloane,
SIAM J. Algebraic Discrete Methods,
8 (1987),
pp. 604-618.
- 134. On the Covering Radius Problem for Codes: (II) Codes of Low Dimension; Normal and Abnormal Codes,
K. E. Kilby and N. J. A. Sloane,
SIAM J. Algebraic Discrete Methods,
8 (1987),
pp. 619-627.
- 135. Sphere Packings, Lattices and Groups,
J. H. Conway and N. J. A. Sloane,
Springer-Verlag,
NY,
1988,
Russian translation, 2 vols., published by Mir, Moscow, 1990.
- 136. An Improvement to the Minkowski-Hlawka Bound for Packing Superballs,
J. A. Rush and N. J. A. Sloane,
Mathematika,
34 (1987),
pp. 8-18.
- 137. Theta-Series and Magic Numbers for Diamond and Certain Ionic Crystal Structures,
N. J. A. Sloane,
J. Math. Phys.,
28 (1987),
pp. 1653-1657.
- 138. Penny-Packing and Two-Dimensional Codes,
R. L. Graham and N. J. A. Sloane,
Discrete and Comput. Geom.,
5 (1990),
pp. 1-11.
- 139. Multi-Dimensional Coding For Error Reduction,
A. R. Calderbank and N. J. A. Sloane,
U. S. Patent No. 4,581,601, April 8, 1986.
- 140. The Solution to Berlekamp's Switching Game,
P. C. Fishburn and N. J. A. Sloane,
Discrete Math.,
74 (1989),
pp. 263-290.
[Unfortunately our answer (34) is apparently wrong - it should be 35. See Sequence A005311 in the OEIS.]
- 141. Four Icosahedra Can Meet at a Point
H. Rossat and N. J. A. Sloane,
Geometriae Dedicata,
27 (1988),
pp. 219-222.
- 142. A Highly Symmetric Four-Dimensional Quasicrystal
[postscript, pdf],
V. Elser and N. J. A. Sloane,
J. Phys. A.,
20 (1987),
pp. 6161-6168.
- 143. Low-Dimensional Lattices III: Perfect Forms,
J. H. Conway and N. J. A. Sloane,
Proc. Royal Soc. London, Series A,
418 (1988),
pp. 43-80.
- 144. Low-Dimensional Lattices I: Quadratic Forms of Small Determinant,
J. H. Conway and N. J. A. Sloane,
Proc. Royal Soc. London, Series A,
418 (1988),
pp. 17-41.
- 145. Inequalities for Covering Codes,
A. R. Calderbank and N. J. A. Sloane,
IEEE Trans. Information Theory,
34 (1988),
pp. 1276-1280.
- 146. Low-Dimensional Lattices II: Subgroups of GL(n, Z),
J. H. Conway and N. J. A. Sloane,
Proc. Royal Soc. London, Series A,
419 (1988),
pp. 29-68.
- 147. The Automorphism Group of an [18,9,8] Quaternary Code,
Y. Cheng and N. J. A. Sloane,
Discrete Math.,
83 (1990),
pp. 205-212.
- 148. Codes from Symmetry Groups and a [32,17,8] Code,
Y. Cheng and N. J. A. Sloane,
SIAM J. Discrete Math.,
2 (1989),
pp. 28-37.
- 149. A [45,13] Code with Minimal Distance 16,
J. H. Conway, S. J. Lomonaco, Jr. and N. J. A. Sloane,
Discrete Math.,
83 (1990),
pp. 213-217.
- 150. Low-Dimensional Lattices IV: The Mass Formula,
J. H. Conway and N. J. A. Sloane,
Proc. Royal Soc. London, Series A,
419 (1988),
pp. 259-286.
- 151. Low-Dimensional Lattices V: Integral Coordinates for Integral Lattices,
J. H. Conway and N. J. A. Sloane,
Proc. Royal Soc. London, Series A,
426 (1989),
pp. 211-232.
- 152. Gray Codes for Reflection Groups,
J. H. Conway, N. J. A. Sloane and A. R. Wilks,
Graphs and Combinatorics,
5 (1989),
pp. 315-325.
- 153. A New Table of Constant Weight Codes,
A. E. Brouwer, J. B. Shearer, N. J. A. Sloane and W. D. Smith,
IEEE Trans. Information Theory,
36 (1990),
pp. 1334-1380.
- 154. A Strengthening of the Assmus-Mattson Theorem,
A. R. Calderbank, P. Delsarte and N. J. A. Sloane,
IEEE Trans. Information Theory,
37 (1991),
pp. 1261-1268.
- 155. Representation Theory, Group Rings, and Coding Theory: Papers in Honor of S. D. Berman,
edited by
I. M. Isaacs, A. I. Lichtman, D. S. Passman, S. K. Sehgal, N. J. A. Sloane and H. Zassenhaus,
Amer. Math. Soc.,
Providence, RI,
Contemporary Math., Vol. 93, 1989.
- 156. Orbit and Coset Analysis of the Golay and Related Codes,
J. H. Conway and N. J. A. Sloane,
IEEE Trans. Information Theory,
36 (1990),
pp. 1038-1050.
- 157. A New Upper Bound for the Minimum of an Integral Lattice of Determinant One,
J. H. Conway and N. J. A. Sloane,
Bull. Amer. Math. Soc.,
23 (1990),
pp. 383-387,
Erratum: volume 24 (April 1991), p. 479.
- 158. A New Upper Bound on the Minimal Distance of Self-Dual Codes,
J. H. Conway and N. J. A. Sloane,
IEEE Trans. Information Theory,
36 (1990),
pp. 1319-1333.
- 159. Multi-Dimensional Coding for Error Reduction,
A. R. Calderbank and N. J. A. Sloane,
U. S. Patent RE33,041, August 29, 1989.
- 160. Unsolved Problems in Graph Theory Arising from the Study of Codes
[postscript, pdf],
N. J. A. Sloane,
Graph Theory Notes of New York,
18 (1989),
pp. 11-20.
- 161. Lattices with Few Distances,
J. H. Conway and N. J. A. Sloane,
J. Number Theory,
39 (1991),
pp. 75-90.
- 162. The Binary Self-Dual Codes of Length Up to 32: A Revised Enumeration,
J. H. Conway, V. Pless and N. J. A. Sloane,
J. Combinatorial Theory, Series A,
60 (1992),
pp. 183-195.
- 163. Papers in Honor of F. Jessie MacWilliams,
Edited by N. J. A. Sloane,
Special issue of IEEE Trans. Information Theory, Vol. 29, Number 3,
May 1983.
- 164. The Cell Structures of Certain Lattices,
J. H. Conway and N. J. A. Sloane,
in Miscellanea mathematica,
P. Hilton, F. Hirzebruch and R. Remmert (editors),
Springer-Verlag,
NY,
1991,
pp. 71-107.
- 165. On the Covering Multiplicity of Lattices,
J. H. Conway and N. J. A. Sloane,
Discrete and Computational Geometry,
8 (1992),
pp. 109-130.
- 166. Corrections to ``Sphere Packings, Lattices and Groups'',
J. H. Conway and N. J. A. Sloane,
Bell Laboratories, Murray Hill, NJ, Sept. 15, 1990.
- 167. Trellis Coding Arrangement,
A. R. Calderbank and N. J. A. Sloane,
U. S. Patent No. 4,939,555, July 3, 1990.
- 168. Self-Dual Codes over the Integers Modulo 4,
J. H. Conway and N. J. A. Sloane,
J. Combinatorial Theory, Series A,
62 (1993),
pp. 30-45.
- 169. Low-Dimensional Lattices VI: Voronoi Reduction of Three-Dimensional Lattices,
J. H. Conway and N. J. A. Sloane,
Proc. Royal Soc. London, Series A,
436 (1992),
pp. 55-68.
[Errata: 1) In the proof of Theorem 2: N(v-2w) < N(w) should read N(v-2w) < N(v);
2) Equation (1) is missing a minus sign before p_ij;
3) in equation (12), v'_13 has the wrong sign.]
- 170. Computer-Generated Minimal (and Larger) Response Surface Designs: (I) The Sphere,
R. H. Hardin and N. J. A. Sloane,
1991,
Published electronically on my home page
NeilSloane.com/
[Abstract,
pdf,
ps].
- 171. Computer-Generated Minimal (and Larger) Response Surface Designs: (II) The Cube,
R. H. Hardin and N. J. A. Sloane,
1991,
Published electronically on my home page
NeilSloane.com/
[Abstract,
pdf,
ps].
- 172. Operating Manual for Gosset:
A General Purpose Program for Designing Experiments
[postscript, pdf],
R. H. Hardin and N. J. A. Sloane,
Statistics Research Report No. 98, AT&T Bell Laboratories, Murray Hill, NJ, November 15, 1991.
- 173. Four-Dimensional Lattices With the Same Theta Series
[postscript, pdf],
J. H. Conway and N. J. A. Sloane,
Duke Math. J.,
66 (International Mathematics Research Notices Number 4) (1992),
pp. 93-96.
- 174. New Spherical 4-Designs,
R. H. Hardin and N. J. A. Sloane,
Discrete Mathematics,
106/107 (1992),
pp. 255-264,
(Topics in Discrete Mathematics, vol. 7, "A Collection of Contributions in Honour of Jack Van Lint", ed. P. J. Cameron and H. C. A. van Tilborg, North-Holland, 1992).
- 175. A New Approach to the Construction of Optimal Designs,
R. H. Hardin and N. J. A. Sloane,
J. Statistical Planning and Inference,
37 (1993), pp. 339-369.
- 176. Sphere Packings, Lattices and Groups
(Second Edition),
J. H. Conway and N. J. A. Sloane,
Springer-Verlag,
NY,
1993, 679 pp.
- 177. On Lattices Equivalent to Their Duals,
J. H. Conway and N. J. A. Sloane,
J. Number Theory,
48 (1994),
pp. 373-382,
- 178. Claude Elwood Shannon: Collected Papers,
N. J. A. Sloane and A. D. Wyner,
IEEE Press,
NY,
1993, 924 pp.
- 179. Covering Arrays and Intersecting Codes,
N. J. A. Sloane,
J. Combinatorial Designs,
1 (1993), pp. 51-63,
- 180. D4, E8, Leech and Certain Other Lattices are Symplectic
[postscript, pdf],
J. H. Conway and N. J. A. Sloane,
Appendix to P. Buser and P. Sarnak, "On the Period Matrix of a Riemann Surface of Large Genus", Inventiones Math., vol. 117 (1994), pp. 27-56. Also DIMACS Technical Report 93-55, August 1993.
- 181. Operating Manual for
Gosset: A General-Purpose Program for Constructing
Experimental Designs (Second Edition)
[postscript, pdf],
R. H. Hardin and N. J. A. Sloane,
Statistics Research Report No. 106, Bell Laboratories, Murray Hill, NJ, October, 1992. Also DIMACS Technical Report 93-51, August 1993.
- 182. A Linear Construction for Certain Kerdock and Preparata Codes,
A. R. Calderbank, A. R. Hammons Jr., P. V. Kumar, N. J. A. Sloane and P. Sol\*'e,
Bulletin Amer. Math. Soc.,
29 (1993),
pp. 218-222;
arXiv:math.CO/9310227.
- 183. The Nordstrom-Robinson Code is the Binary Image of the Octacode
[postscript, pdf],
G. D. Forney, Jr., N. J. A. Sloane and M. D. Trott,
Coding and Quantization: DIMACS / IEEE Workshop October 19-21, 1992,
R. Calderbank, G. D. Forney, Jr. and N. Moayeri (editors),
Amer. Math. Soc.,
1993,
pp. 19-26,
Also DIMACS Technical Report 93-49, August 1993.
- 184. The Z4-Linearity of Kerdock, Preparata, Goethals and Related Codes,
A. R. Hammons Jr., P. V. Kumar, A. R. Calderbank, N. J. A. Sloane and P. Sol\*'e,
IEEE Trans. Information Theory,
40 (1994),
pp. 301-319,
- 185. Quaternary Constructions for the Binary Single-Error-Correcting Codes of Julin, Best and Others,
J. H. Conway and N. J. A. Sloane,
Designs, Codes and Cryptography,
4 (1994),
pp. 31-42,
- 186. On the Apparent Duality of the Kerdock and Preparata Codes
[postscript, pdf],
A. R. Hammons Jr., P. V. Kumar, A. R. Calderbank, N. J. A. Sloane and P. Sol\*'e,
Applied Algebra, Algebraic Algorithms and Error-Correcting Codes (Proceedings 10th International Symposium, AAECC-10, San Juan de Puerto Rico, May 1993); Lecture Notes in Computer Science, Vol. 673,
G. Cohen, T. Mora and O. Moreno (editors),
Springer-Verlag,
NY,
1993.
- 187. Claude Elwood Shannon: Miscellaneous Writings,
edited by N. J. A. Sloane and A. D. Wyner,
1993,
Deposited in The Library of Congress, The British Library, and the libraries of M.I.T., Cornell, Univ. Mich. and AT&T Bell Laboratories.
October 15 2013: I have placed a copy on the
Internet Archive - see
archive.org/details/ShannonMiscellaneousWritings
- 188. Orthogonal Arrays: Theory and Applications,
A. S. Hedayat, N. J. A. Sloane and J. Stufken,
Springer-Verlag, NY,
1999.
- 189. Expressing (a^2 + b^2 + c^2 + d^2 )^2 as a Sum of 23 Sixth Powers,
R. H. Hardin and N. J. A. Sloane,
Journal of Combinatorial Theory, Series A,
68 (1994),
pp. 481-485,
- 190. Optimization of Resist Formulation and Processing with Disulfone Photo Acid Generators Using Design of Experiments,
O. Nalamasu, A. Freeny, E. Reichmanis, N. J. A. Sloane and L. F. Thompson,
AT&T Bell Labs Memorandum, 1993.
- 191. Modular and p-Adic Cyclic Codes,
A. R. Calderbank and N. J. A. Sloane,
Designs, Codes and Cryptography,
6 (1995),
pp. 21-35;
arXiv:math.CO/0311319.
- 192. A Lattice Without a Basis of Minimal Vectors,
J. H. Conway and N. J. A. Sloane,
Mathematika,
42 (1995),
pp. 175-177.
- 193. Minimal-Energy Clusters of Hard Spheres,
N. J. A. Sloane, R. H. Hardin, T. S. Duff and J. H. Conway,
Discrete Computational Geom.,
14 (1995),
pp. 237-259.
- 194. What Are All the Best Sphere Packings in Low Dimensions?
[pdf],
J. H. Conway and N. J. A. Sloane,
Discrete and Computational Geometry (Laszlo Fejes Toth Festschrift),
13 (1995),
pp. 383-403.
- 195. Algebraic Coding Theory: Recent Developments Related to the Integers Mod 4
[postscript, pdf],
N. J. A. Sloane,
Study of Algebraic Combinatorics (Proceedings Conference on Algebraic Combinatorics, Kyoto 1993),
Research Institute for Mathematical Sciences, Kyoto,
1995,
pp. 38-52.
- 196. The On-Line Encyclopedia of Integer
Sequences (the websie),
N. J. A. Sloane,
1994.
- 197. An
On-Line Version of the Encyclopedia of Integer Sequences,
Feature #F1 in Volume 1 (1994) of
The Electronic Journal of Combinatorics.
- 198. Notes on "Gosset", A General-Purpose Program for Experimental Design: Features and Applications,
R. H. Hardin and N. J. A. Sloane,
Proc. Internat. Conf. on Statistics in Industry, Science and Technology, Tokyo,
1994,
pp. 346-350.
- 199. Some Canonical Sequences of Integers
[Abstract, postscript, pdf,
arXiv:math.CO/0205301],
M. Bernstein and N. J. A. Sloane,
Linear Algebra and its Applications,
226-228 (1995),
pp. 57-72,
Erratum: volume 320 (2000), 210.
- 200. The Antipode Construction for Sphere Packings
[Abstract, postscript, pdf,
arXiv:math.CO/0207182],
J. H. Conway and N. J. A. Sloane,
Inventiones mathematica,
123 (1996),
pp. 309-313.
- 201. On Sublattices of the Hexagonal Lattice
M. Bernstein, N. J. A. Sloane and P. E. Wright,
Discrete Math.,
170 (1997),
pp. 29-39.
- 202. The Encyclopedia of Integer Sequences,
N. J. A. Sloane and S. Plouffe,
Academic Press, San Diego,
1995, 587 pp.;
Introductory chapters.
- 203. Codes (Spherical) and Designs (Experimental),
R. H. Hardin and N. J. A. Sloane,
Different Aspects of Coding Theory, ed. A. R. Calderbank, AMS Series Proceedings Symposia Applied Math., Vol. 50,
1995,
pp. 179-206.
- 204. McLaren's Improved Snub Cube and Other New Spherical Designs in Three Dimensions
[Abstract, postscript, pdf,
arXiv:math.CO/0207211],
R. H. Hardin and N. J. A. Sloane,
Discrete and Computational Geometry,
15 (1996),
pp. 429-441.
- 205. Integer Sequences
[postscript, pdf],
N. J. A. Sloane,
CRC Standard Mathematical Tables and Formulae,
D. Zwilliger (editor),
CRC Press,
Boca Raton, FL,
1996,
pp. 23-29.
- 206. Delivery of Medical Services Using Electronic Data Communications,
N. J. A. Sloane,
U. S. Patent No. 5,619,991, Apr 15, 1997.
- 207. Method Using Central Epidemiological Database,
N. J. A. Sloane,
U. S. Patent No. 5,911,132, Jun 08, 1999.
- 208. A Linear Programming Bound for Orthogonal Arrays with Mixed Levels,
N. J. A. Sloane and J. Stufken,
J. Statistical Planning and Inference,
56 (1996), pp. 295-306.
- 209. Double Circulant Codes over Z4 and Even Unimodular Lattices,
A. R. Calderbank and N. J. A. Sloane,
J. Algebraic Combinatorics,
6 (1997), pp. 119-131.
- 210. Algebraic Description of Coordination Sequences and Exact Topological Densities for Zeolites
[postscript, pdf],
R. W. Grosse-Kunstleve, G. O. Brunner and N. J. A. Sloane,
Color poster, Sixteenth European Crystallographic Meeting, Lund, Sweden, August 6-11, 1995.
- 211. A New Operation on Sequences: The Boustrophedon Transform
J. Millar, N. J. A. Sloane and N. E. Young,
J. Combinatorial Theory, Series A,
76 (1996),
pp. 44-54;
arXiv:math.CO/0205218.
- 212. Climbing Guide to New Jersey Crags,
P. Nick and N. J. A. Sloane,
Chockstone Press, Evergreen, CO (ISBN: 1-57540-032-4),
1996.
- 213. The Primary Pretenders,
J. H. Conway, R. K. Guy, W. A. Schneeberger and N. J. A. Sloane,
Acta Arithmetica,
78 (1997),
pp. 307-313;
arXiv:math.NT/0207180.
- 214. The Ternary Golay Code, the Integers Mod 9 and the Coxeter-Todd Lattice;
correction: postscript, pdf,
A. R. Calderbank and N. J. A. Sloane,
IEEE Trans. Inform. Theory,
42 (1996),
pp. 636-637,
Erratum: vol. 49 (Jan. 2003), page 347. Unfortunately this paper is wrong: the lattice is not K_12.
- 215. Packing Lines, Planes, etc.: Packings in Grassmannian Space,
J. H. Conway, R. H. Hardin and N. J. A. Sloane,
Experimental Math., 5 (1996),
pp. 139-159;
arXiv:math.CO/0208004.
- 216. Kugelpackungen im Raum,
N. J. A. Sloane,
Moderne Mathematik,
G. Faltings (editor),
Spektrum Akademischer Verlag,
Heidelberg, Germany,
1996,
pp. 112-123,
(German translation of Item 109, with a new introduction).
- 217. Efficient Regression Verification
[postscript, pdf],
R. H. Hardin, R. P. Kurshan, K. L. McMillan, J. A. Reeds and N. J. A. Sloane,
Internat. Workshop on Discrete Event Systems (WODES '96), 19-21 August , Edinburgh,
IEE, London,
1996,
pp. 147-150.
- 218. Some Lattices Obtained from Riemann Surfaces
[postscript, pdf],
M. Bernstein and N. J. A. Sloane, in
Extremal Riemann Surfaces (Contemporary Math. Vol. 201),
J. R. Quine and P. Sarnak (editors),
Amer. Math. Soc.,
Providence, RI,
1997,
pp. 29-32.
- 219. Algebraic Description of Coordination Sequences and Exact Topological Densities for Zeolites,
R. W. Grosse-Kunstleve, G. O. Brunner and N. J. A. Sloane,
Acta Cryst.,
A52 (1996),
pp. 879-889.
- 220. Low-Dimensional Lattices VII: Coordination Sequences,
J. H. Conway and N. J. A. Sloane,
Proc. Royal Soc. London, Series A,
453 (1997),
pp. 2369-2389.
- 221. A Family of Optimal Packings in Grassmannian Manifolds,
P. W. Shor and N. J. A. Sloane,
J. Algebraic Combinatorics, 7 (1998), pp. 157-163;
arXiv:math.CO/0208003.
- 222. Quantum Error Correction and Orthogonal Geometry,
A. R. Calderbank, E. M. Rains, P. W. Shor and N. J. A. Sloane,
Phys. Rev. Letters, 78 (1997), pp. 405-409;
arXiv:quant-ph/9605005.
- 223. Quantum Error Correction Via Codes Over GF(4),
A. R. Calderbank, E. M. Rains, P. W. Shor and N. J. A. Sloane,
IEEE Trans. Information Theory,
44 (1998),
pp. 1369-1387;
arXiv:quant-ph/9608006.
- 224. Updated Tables of Parameters of (T,M,S)-Nets,
A. T. Clayman, K. M. Lawrence, G. L. Mullen, H. Niederreiter and N. J. A. Sloane,
J. Combinatorial Designs, 7 (1999),
pp. 381-393
(for the full tables see the JCD web site located at
http://www.emba.uvm.edu/~colbourn/jcd/T-table-base2.html).
- 225. Proposal for
an Internet Service: The Eternal Home Page,
N. J. A. Sloane,
AT&T Labs - Research, Murray Hill, NJ,
Dec 12 1996.
- 226. Bounds on Mixed Binary/Ternary Codes,
A. E. Brouwer, H. O. Hamalainen, P. R. J. Ostergard and N. J. A. Sloane,
IEEE Trans. Information Theory,
44 (1998),
pp. 140-161.
- 227. A Group-Theoretic Framework for the Construction of Packings in Grassmannian Spaces,
A. R. Calderbank, R. H. Hardin, E. M. Rains, P. W. Shor and N. J. A. Sloane,
J. Algebraic Combinatorics, 9 (1999), pp. 129-140;
arXiv:math.CO/0208002.
- 228. A Nonadditive Quantum Code,
E. M. Rains, R. H. Hardin, P. W. Shor and N. J. A. Sloane,
Phys. Rev. Letters, 79 (1997), pp. 953-954;
arXiv:quant-ph/9703002.
- 229. Self-Dual Codes
E. M. Rains and N. J. A. Sloane, a chapter in
Handbook of Coding Theory,
V. S. Pless and W. C. Huffman (editors),
Elsevier, Amsterdam, 1998, pp. 177-294;
arXiv:math.CO/0208001.
- 230. Interview with Neil Sloane,
A. R. Calderbank and N. J. A. Sloane,
IEEE Information Theory Society Newsletter,
47 (number 4) (December 1997),
pp. 3-4, 35-37.
- 231. The
Shadow Theory of Modular and Unimodular Lattices,
E. M. Rains and N. J. A. Sloane,
J. Number Theory,
73 (1998),
pp. 359-389;
arXiv:math.CO/0207294.
- 232. A Note on Optimal Unimodular Lattices,
J. H. Conway and N. J. A. Sloane,
J. Number Theory,
72 (1998),
pp. 357-362;
arXiv:math.CO/0207292.
- 233.
A Catalogue of Lattices,
G. Nebe and N. J. A. Sloane.
- 234. Sphere Packings, Lattices and Groups (Third Edition)
[postscript, pdf],
J. H. Conway and N. J. A. Sloane,
Springer-Verlag,
NY,
1998. Paperback reprint for sale in China only, Springer-Verlag, 2009.
- 235. Packing Planes in Four Dimensions and Other Mysteries
[postscript, pdf,
arXiv:math.CO/0208017],
N. J. A. Sloane,
Algebraic Combinatorics and Related Topics (Yamagata 1997),
E. Bannai, M. Harada and M. Ozeki (editors),
Yamagata University, Faculty of Science, Department of Mathematics,
1999.
- 236. On Kissing Numbers in Dimensions 32 to 128,
arXiv:math.CO/0207291,
Y. Edel, E. M. Rains and N. J. A. Sloane,
The Electronic J. Combinatorics, 5(1), paper R22 (1998).
- 237. The Sphere Packing Problem
[postscript, pdf,
arXiv:math.CO/0207256],
N. J. A. Sloane,
Proceedings
Internat. Congress Math. Berlin 1998,
Documenta Mathematika,
III (1998),
pp. 387-396.
- 238. Kepler's Conjecture Confirmed,
N. J. A. Sloane,
Nature,
395 (October 1, 1998),
pp. 435-436.
- 239. On the Existence of Similar Sublattices,
J. H. Conway, E. M. Rains and N. J. A. Sloane,
Canad. J. Math.,
51 (1999),
pp. 1300-1306;
arXiv:math.CO/0207177.
- 240. On Cayley's Enumeration of Alkanes (or 4-Valent Trees),
E. M. Rains and N. J. A. Sloane,
Journal of Integer Sequences,
Vol. 2 (1999), #99.1.1;
arXiv:math.CO/0207176.
- 241. My Favorite Integer Sequences
[Abstract, pdf, postscript, latex,
arXiv:math.CO/0207175],
N. J. A. Sloane,
Sequences and their Applications (Proceedings of SETA '98),
C. Ding, T. Helleseth and H. Niederreiter (editors),
Springer-Verlag,
London,
1999,
pp. 103-130.
- 242. Integer Sequences, On-Line Encyclopedia of
[postscript, pdf],
N. J. A. Sloane,
Encyclopedia of Computer Science (4th edition),
A. Ralston, E. D. Reilly and D. Hemmendinger (editors),
Nature Publishing Group,
2000,
pp. 891-892.
- 243. Multiple Description Lattice Vector Quantization,
S. D. Servetto, V. A. Vaishampayan and N. J. A. Sloane,
Proceedings DCC '99: Data Compression Conference (Snowbird, 1999),
J. A. Storer and M. Cohn (editors),
IEEE Computer Society, Los Alamitos, CA,
1999,
pp. 13-22.
- 244. The Lattice of N-Run Orthogonal Arrays,
E. M. Rains, N. J. A. Sloane and J. Stufken,
J. Statistical Planning and Inference,
102 (2002), pp. 477-500;
arXiv:math.CO/0205299.
- 245. Asymptotic Performance of Multiple Description Lattice Quantization
[Abstract, pdf, postscript],
V. A. Vaishampayan, N. J. A. Sloane and S. D. Servetto,
Proceedings ISIT-2000,
IEEE Information Theory Society,
2000,
page 175.
- 246. Multiple Description Vector Quantization with Lattice Codebooks: Design and Analysis,
V. A. Vaishampayan, N. J. A. Sloane and S. D. Servetto,
IEEE Trans. Information Theory,
47 (2001),
pp. 1718-1734;
arXiv:math.CO/0207289.
- 247. Interleaver Design for Short Block Length Turbo Codes,
[pdf, ps],
H. R. Sadjapour, M. Salehi, N. J. A. Sloane and G. Nebe,
Proceedings ICC-2000,
2000.
- 248. Interleaver Design for Turbo Codes,
H. R. Sadjapour, N. J. A. Sloane, M. Salehi and G. Nebe,
Proceedings ISIT-2000,
2000,
page 453.
- 249. The Invariants of the Clifford Groups,
G. Nebe, E. M. Rains and N. J. A. Sloane,
Designs, Codes and Cryptography,
24 (2001),
pp. 99-121;
arXiv:math.CO/0001038.
- 250. On Single-Deletion-Correcting Codes
[Abstract, pdf, postscript,
arXiv:math.CO/0207197],
N. J. A. Sloane,
Codes and Designs, Ohio State University, May 2000 (Ray-Chaudhuri Festschrift),
K. T. Arasu and A. Seress (editors),
Walter de Gruyter,
Berlin,
2002,
pp. 273-291.
- 251. Design of Asymmetric Multiple Description Lattice Vector Quantizers
[Abstract, pdf, ps],
S. N. Diggavi, N. J. A. Sloane and V. A. Vaishampayan,
Proceedings DCC 2000: Data Compression Conference (Snowbird, 2000),
J. A. Storer and M. Cohn (editors),
IEEE Computer Society, Los Alamitos, CA,
2000,
pp. 490-499.
- 252. Rock Climbing New Jersey,
P. Nick and N. J. A. Sloane,
Falcon Press, Helena, MT (ISBN: 1-56044-790-7),
2000.
- 253. A Simple Construction for the Barnes-Wall Lattices
[Abstract, pdf, postscript,
arXiv:math.CO/0207186],
G. Nebe, E. M. Rains and N. J. A. Sloane,
Codes, Graphs, and Systems: A Celebration of the Life and Career of G. David Forney, Jr. on the Occasion of his Sixtieth Birthday,
R. E. Blahut and R. Koetter (editors),
Kluwer,
2002,
pp. 333-342.
- 254. Challenge Problems: Independent Sets in Graphs,
N. J. A. Sloane,
2000-present (many updates),
Published in the
OEIS database.
- 255. Interleaver Design for Turbo Codes
[pdf, ps,
arXiv:math.CO/0207209],
H. R. Sadjapour, N. J. A. Sloane, M. Salehi and G. Nebe,
IEEE Journal on Selected Areas in Communications,
19 (2001),
pp. 831-837.
- 256. Asymmetric Multiple Description Lattice Vector Quantizers,
S. N. Diggavi, N. J. A. Sloane and V. A. Vaishampayan,
IEEE Trans. Information Theory,
48 (2002),
pp. 174-191;
arXiv:math.CO/0207184.
- 257. Claude Shannon (1916-2001),
A. R. Calderbank and N. J. A. Sloane,
Nature,
410 (April 12, 2001),
page 768.
- 258. Quantizing Using Lattice Intersections
[Abstract, pdf, ps,
arXiv:math.CO/0207147],
N. J. A. Sloane and B. Beferull-Lozano,
Discrete and Computational Geometry (The Goodman-Pollack Festschrift),
B. Aronov, S. Basu, J. Pach and M. Sharir (editors),
Springer-Verlag, NY,
2003,
pp. 799-824.
- 259. A Zador-Like Formula for Quantizers Based on Periodic Tilings,
N. J. A. Sloane and V. A. Vaishampayan,
IEEE Trans. Information Theory,
48 (2002),
pp. 3138-3140;
arXiv:math.CO/0207146.
- 260. The EKG Sequence,
J. C. Lagarias, E. M. Rains and N. J. A. Sloane,
Experimental Math., 11 (2002), pp. 437-446;
arXiv:math.NT/0204011.
- 261. On Asymmetric Coverings and Covering Numbers,
D. Applegate, E. M. Rains and N. J. A. Sloane,
J. Combinatorial Designs, 11 (2003), pp. 218-228;
arXiv:math.CO/0205303.
- 262. Dynamical Systems, Curves and Coding for Continuous Alphabet Sources,
V. A. Vaishampayan, N. J. A. Sloane and S. I. R. Costa,
Proceedings Information Theory Workshop, Bangladore, India,
2002.
- 263. Complete Weight Enumerators of Generalized Doubly-Even Self-Dual Codes,
G. Nebe, H.-G. Quebbemann, E. M. Rains and N. J. A. Sloane,
Finite Fields Applic., 10 (2004), pp. 540-550;
arXiv:math.NT/0311289.
- 264. Two Stage S-Random Interleaver,
H. R. Sadjapour, M. Salehi and N. J. A. Sloane,
U. S. Patent No. 6,453,442, Sep 17, 2002.
- 265. Codes and Invariant Theory,
G. Nebe, E. M. Rains and N. J. A. Sloane,
Math. Nachrichten,
274-275 (2004),
pp. 104-116;
arXiv:math.NT/0311046.
- 266. The On-Line Encyclopedia of Integer Sequences
[arXiv:math.CO/0312448],
N. J. A. Sloane,
Notices Amer. Math. Soc.,
50 (September 2003),
pp. 912-915.
- 267. Spherical Designs in Four Dimensions (Extended Abstract),
N. J. A. Sloane, R. H. Hardin and P. Cara,
Proceedings Information Theory Workshop (Paris, April 2003),
IEEE Press,
2003,
pp. 253-257.
- 268. Multiple Description Lattice Vector Quantization,
S. D. Servetto, N. J. A. Sloane and V. A. Vaishampayan,
U. S. Patent No. 6,516,297 Feb 04 2003.
- 269. Numerical Analogues of Aronson's Sequence,
B. Cloitre, N. J. A. Sloane and M. J. Vandermast,
Journal of Integer Sequences,
Vol. 6 (2003), #03.2.2;
arXiv:math.NT/0305308.
- 270. The On-Line Encyclopedia of Integer Sequences,
N. J. A. Sloane,
2003,
One-page handout for "Take Our Children To Work"
[pdf,
ps].
- 271. The Number of Hierarchical Orderings
[Abstract, pdf, ps, arXiv:math.CO/0307064],
N. J. A. Sloane and T. Wieder,
Order,
21 (2004),
pp. 83-89.
- 272. Review of George Szpiro's book "Kepler's Conjecture: How some of the greatest minds in history helped solve one of the oldest math problems in the world",
N. J. A. Sloane,
Nature,
425, Number 6954 (11 September 2003),
pp. 126-127.
- 273. Approximate Squaring,
J. C. Lagarias and N. J. A. Sloane,
Experimental Math.,
13, Number 1 (2004),
pp. 113-128;
arXiv:math.NT/0309389.
- 274. Acyclic Digraphs and Eigenvalues of (0,1)-Matrices,
B. D. McKay, F. E. Oggier, N. J. A. Sloane, G. F. Royle, I. M. Wanless and H. S. Wilf,
Journal of Integer Sequences,
7 (#04.3.3) (2004);
arXiv:math.CO/0310423.
- 275. Nonintersecting Subspaces Based on Finite Alphabets,
F. E. Oggier, N. J. A. Sloane, S. N. Diggavi and A. R. Calderbank,
IEEE Trans. Information Theory,
51 (2005),
pp. 4320-4325;
arXiv:math.CO/0312467.
- 276. On Non-Squashing Partitions,
N. J. A. Sloane and J. A. Sellers,
Discrete Math.,
294 (2005),
pp. 259-274;
arXiv:math.CO/0312418.
- 277. Recent progress in sphere packing,
J. H. Conway, C. Goodman-Strauss and N. J. A. Sloane,
Current Developments in Mathematics (Cambridge, MA, 1999),
B. Mazur, W. Schmid, S. T. Yau, D. Jerison, I. Singer and D. Stroock (editors),
International Press, Somerville, MA,
1999,
pp. 37-76.
- 278. Problem 10927: The EKG Sequence,
J. C. Lagarias, E. M. Rains and N. J. A. Sloane,
Amer. Math. Monthly,
111:2 (2004),
pp. 167-168.
- 279. A Slow-Growing Sequence Defined by an Unusual Recurrence,
Fokko J. van de Bult, Dion C. Gijswijt, John P. Linderman, N. J. A. Sloane and Allan R. Wilks,
Journal of Integer Sequences,
Vol. 10 (2007), #07.1.2;
arXiv:math.NT/0602498.
- 280. Constant Weight Codes: A Geometric Approach,
C. Tian, V. A. Vaishampayan and N. J. A. Sloane,
Proceedings International Symposium on Information Theory (ISIT), 2005,
IEEE,
2005,
pp. 249-253.
- 281. Encoding of Data into Constant Weight Codes,
N. J. A. Sloane,
C. Tian and V. A. Vaishampayan,
U. S. Patent No. 7,587,641, Sep 08 2009.
- 282. Sloping Binary Numbers: A New Sequence Related to the Binary Numbers,
David Applegate, Benoit Cloitre, Philippe Deléham and N. J. A. Sloane,
J. Integer Sequences, 8 (#05.3.6) (2005);
arXiv:math.NT/0505295.
- 283. Self-Dual Codes and Invariant Theory,
G. Nebe, E. M. Rains and N. J. A. Sloane,
Springer-Verlag,
Heidelberg,
2006,
ISBN 3-540-30729-x.
- 284. On the Integrality of n-th Roots of Generating Functions,
Nadia Heninger, E. M. Rains and N. J. A. Sloane,
Jnl. Combinatorial Theory, Series A,
113 (2006),
pp. 1732-1745;
arXiv:math.NT/0509316.
- 285. Seven Staggering Sequences
[pdf],
N. J. A. Sloane, in
Homage to a Pied Puzzler,
E. Pegg Jr., A. H. Schoen and T. Rodgers (editors),
A. K. Peters, Wellesley, MA, 2009, pp. 93-110.
[A short version appeared in the Gift Book
for the Seventh Gathering for Gardner.]
- 286. Poster: Integer Sequences Related to Chemistry,
N. J. A. Sloane and Parthasarathy Nambi,
Poster presented at the Amer. Chem. Soc. National Meeting, San Francisco, Fall 2006.
- 287. Dissections and Constant Weight Codes,
V. A. Vaishampayan and N. J. A. Sloane,
Presented at IEEE Information Theory Workshop, Chengdu, 2006, ITW'06.
- 288. Descending Dungeons,
Marc LeBrun, David Applegate and N. J. A. Sloane,
Amer. Math. Monthly, Problem 11286, Vol. 114 (No. 4, 2007), p. 358; solution: Vol. 116 (No. 5, 2009), pp. 466-467.
[pdf,
ps].
- 289. Gleason's Theorem on Self-Dual Codes and its Generalizations,
N. J. A. Sloane, in
Algebraic Combinatorics: An International Conference in Honor of
Eiichi Bannai's 60th Birthday,
edited by A. Munemasa et al., Sendai International Center, Japan, June 26-30, 2006; pp.
151-169.
- 290. Descending Dungeons and Iterated Base-Changing,
David Applegate, Marc LeBrun and N. J. A. Sloane, in
"The Mathematics of Preference, Choice and Order: Essays
in Honor of Peter Fishburn", edited
by Steven Brams, William V. Gehrlein and Fred S. Roberts,
Springer, 2009, pp. 393-402;
arXiv:math.NT/0611293.
- 291. The
Optimal Isodual Lattice Quantizer in Three Dimensions,
J. H. Conway and N. J. A. Sloane,
Advances in Math. of Commun., Vol. 1, No. 2 (2007), 257-260;
arXiv:math.NT/0701080.
- 292. A Coding Algorithm for
Constant Weight Vectors:
A Geometric Approach Based on Dissections,
Chao Tian, Vinay A. Vaishampayan and N. J. A. Sloane,
IEEE Transactions Information Theory, Vol. 55, No. 3 (2009), 1051-1060;
arXiv:0706.1217.
- 293. Constant Weight Coding of Signals Based on Conjugate Dissections,
N. J. A. Sloane and V. A. Vaishampayan,
U. S. Patent No. 7,791,511, Sep 07 2010.
- 294. Generalizations
of Schöbi's Tetrahedral Dissection
[arXiv:0710.3857],
N. J. A. Sloane and Vinay A. Vaishampayan,
Discrete and Comput. Geom., 41 (No. 2, 2009), 232-248.
- 295. Eight Hateful Sequences,
N. J. A. Sloane,
pp. 285-289 of G4G8: Gathering 4 Gardner Exchange Book, Vol. 1.
(Gift Book for the Eighth Gathering For Gardner, Atlanta, Georgia, March 27-30, 2008.)
2009, revised Sept. 11, 2013. Reprinted in "Barrycades and Septoku: Papers in Honor of Martin Gardner and Tom Rogers", ed. Thane Plambeck and Tomas Rokicki, MAA Press, 2020, pp. 3-10.
[First version: arXiv:0805.2128].
- 296. Fat Struts: Constructions and a Bound,
N. J. A. Sloane, V. A. Vaishampayan and S. I. R. Costa,
Proceedings Information Theory Workshop, Taormino, Italy,
2009.
- 297. The Gift Exchange Problem,
David Applegate and N. J. A. Sloane,
arXiv:0907.0513,
July 02, 2009.
- 298. The Curling Number Conjecture
[pdf].
Benjamin Chaffin and N. J. A. Sloane,
2010.
For sequel see #313 below.
- 299. The Toothpick Sequence and Other Sequences from Cellular Automata,
David Applegate, Omar E. Pol and N. J. A. Sloane,
Congressus Numerantium, Vol. 206 (2010), 157-191.
- 300. Catalog of Toothpick and Cellular Automata Sequences in the OEIS,
N. J. A. Sloane,
on OEIS web site,
2010.
- 301. A Note on Projecting the Cubic Lattice,
N. J. A. Sloane, Vinay A. Vaishampayan and Sueli I. R. Costa,
Discrete and Computational Geometry, Vol. 46 (No. 3, 2011), 472-478.
- 302. The Lifting Construction: A General Solution to the Fat Strut Problem,
Vinay A. Vaishampayan, N. J. A. Sloane and Sueli I. R. Costa,
Proceedings International Symposium on Information Theory (ISIT), 2010,
IEEE Press.
- 303. Carryless Arithmetic,
D. Applegate, M. LeBrun, N. J. A. Sloane,
College Math. J., Vol. 43 (No. 1, 2012), pp. 43-50
(Special issue in honor of Martin Gardner),
received 2013 George Polya Award from MAA;
also arXiv:1008.4633.
- 304. Dismal Arithmetic,
David Applegate, Marc LeBrun and N. J. A. Sloane,
Journal of Integer Sequences,
Vol. 14 (2011), #11.9.8;
arXiv:1107.1130.
- 305. From Packing Planes in
Four-Space to Quantum Error-Correcting Codes,
N. J. A. Sloane,
Videotape of
my talk at the conference on "Optimal Configurations on the Sphere
and Other Manifolds"
(Vanderbilt University, May 17-20, 2010).
- 306.
Podcast of me being interviewed by Chaim Goodman-Strauss about the OEIS at the
Eighth Gathering For Gardner, Atlanta, Georgia, March 27-30, 2008.
(Part of the MAA Math Factor Podcast series.)
- 307.
Introduction to Noam Elkies's plenary lecture at AMS Annual Meeting,
Baltimore, MD, Jan 17 2003 (unpublished).
- 308.
The Density of a Recursively Defined Set,
J. H. Conway, R. K. Guy and N. J. A. Sloane,
unfinished, Jul 18, 1994.
- 309.
Budweiser Strikes Back,
N. J. A. Sloane,
unpublished poem, Aug 27 1985.
- 310.
The Gosset Demonstrations,
N. J. A. Sloane,
unpublished.
- 311. A Simple and Easily-Remembered Method for Solving the Rubik Cube,
Susanna Cuyler and N. J. A. Sloane, 2012.
(An informal guide for distribution to friends.)
- 312. The On-Line Encyclopedia of Integer Sequences,
N. J. A. Sloane,
Proceedings Fifteenth Conference on Fibonacci Numbers, Eger, Hungary, June 2012,
Annales Mathematicae et Informaticae, 41 (2013) pp. 219-234.
- 313. On Curling Numbers of Integer Sequences,
Benjamin Chaffin, John P. Linderman, N. J. A. Sloane and Allan R. Wilks,
J. Integer Sequences, 16 (2013), #13.4.3; also arXiv:1212.6102.
- 314. Recent and Noteworthy Sequences in the OEIS,
N. J. A. Sloane,
to appear [Dec 18 2012].
- 315. Recent and Noteworthy Sequences in the OEIS: The Illustrations,
N. J. A. Sloane,
to appear [Dec 18 2012].
- 316. The On-Line Encyclopedia of Integer Sequences,
N. J. A. Sloane
(audio interview, an episode of Relatively Prime, interviewer is Samuel Hansen).
[Jan. 10, 2012]
- 317.
The On-Line Encyclopedia of Integer Sequences: The First Hundred Years. A talk I gave in Doron Zeilberger's Experimental Math Seminar at Rutgers University, Feb. 7, 2013. It is on YouTube. There were two cameras recording it, and each video is in two parts, so there are four videos-take your pick!
VIDEO 1: Part 1, Part 2;
VIDEO 2: Part 1, Part 2.
Thanks to Brian Nakamura and Edinah K. Gnang for an excellent job of videotaping
.
- 318. On Curling Numbers of Integer Sequences,
N. J. A. Sloane, Slides of talk presented at Combinatorics
on Words Conference, Fields Institute, Toronto, April 22, 2013.
- 319. 2178 And All That,
N. J. A. Sloane, Fibonacci Quarterly, 52 (2014), 99-120.
Also arXiv:1307.0453,
although the version on my home page may be more up-to-date.
- 320.
2178 And All That. A talk I gave in Doron Zeilberger's
Experimental Math Seminar at Rutgers University, Oct. 10 2013:
Part 1,
Part 2.
Thanks to Matthew Russell for an excellent job of videotaping.
- 321. On Junction Numbers,
Max A. Alekseyev, Donovan Johnson and N. J. A. Sloane, Preprint, 2014. Obsolete, see the new version in Item 382.
- 322.
Error-Correcting Codes, Group Theory, and Invariant Theory. A talk I gave in the Graduate Student Seminar Series at Rutgers University, April 21, 2014:
Part 1,
Part 2.
Thanks to Matthew Russell for for an excellent job of videotaping.
- 323. A Note on Modular Partitions and Necklaces,
N. J. A. Sloane, Preprint, 2014 (mentioned in A047996 and
A241926).
- 324.
David L. Applegate, Hans Havermann, Bob Selcoe, Vladimir Shevelev, N. J. A. Sloane,
and Reinhard Zumkeller, The Yellowstone Permutation,
Journal of Integer Sequences, Vol. 18 (2015), Article 15.6.7; also arXiv:1501.01669
(JIS,
arXiv,
on my home page).
- 325. On the Number of ON Cells in Cellular Automata,
N. J. A. Sloane, pp. 13-38 in "Connections in Discrete Mathematics: A Celebration of the Work of Ron Graham", ed. Steve Butler et al., Cambridge Univ. Press, 2018.
Also arXiv:1503.01168.
- 326. A Meta-Algorithm for Creating Fast Algorithms for Counting ON Cells in Odd-Rule Cellular Automata,
Shalosh B. Ekhad, N. J. A. Sloane, and Doron Zeilberger, 2015.
Also arXiv:1503.01796, although the version on my home page may be more up-to-date.
See also the accompanying Maple package.
- 327. Odd-Rule Cellular Automata on the Square Grid,
Shalosh B. Ekhad, N. J. A. Sloane, and Doron Zeilberger, 2015.
Also arXiv:1503.04249, although the version on my home page may be more up-to-date.
- 328. The Online Encyuclopedia of Integer Sequences (Good Ideas in Teaching Precalculus, 2015),
N. J. A. Sloane, Slides of talk presented at Good Ideas in Teaching Precalculus Conference, Rutgers University, March 30, 2015.
- 329.
The OEIS-50 Conference. On October 9-10 2014 there was a conference at DIMACS, Rutgers University, to celebrate the 50th birthday of the OEIS, reaching 250,000 sequences, and my 75th birthday. Videos of the talks can be seen here
- 330.
N. J. A. Sloane, On the No. of ON Cells in Cellular Automata, Video of talk in Doron Zeilberger's Experimental Math Seminar at Rutgers University, Feb. 5 2015: Part 1, Part 2
- 331.
Poster I created to celebrate reaching 250,000 sequences; key to the poster.
- 332.
Video interview of me by Marc Chamberland at the Joint Math Meetings in San Antoio, Texas, Jan. 2015.
- 333. An upper bound for self-dual codes (Corresp.),
C. L. Mallows, A. M. Odlyzko and N. J. A. Sloane,
IEEE Trans. Information Theory,
IT-21 (No. 1, 1978), p. 115.
- 334. New spherical designs in three and four dimensions,
R. H. Hardin and N. J. A. Sloane,
Proceedings 1995 IEEE International Symposium on Information Theory,
17-22 Sept. 1995, Whistler, BC;
IEEE Press, 1995, page 181; DOI: 10.1109/ISIT.1995.531530.
- 335. Codes and Lattices,
N. J. A. Sloane,
Proceedings 1998 IEEE International Symposium on Information Theory,
16-21 Aug. 1998, Cambridge MA;
IEEE Press, 1998, DOI: 10.1109/ISIT.1998.708577.
- 336.
N. J. A. Sloane, Unsolved Number Theory Sequences from Alekseyev, Meiburg, Resta, van der Poorten, and Pablo Picasso, Video of talk in Doron Zeilberger's Experimental Math Seminar at Rutgers University, Sep 24 2015: Part 1, Part 2
- 337. Open Problems in the OEIS,
N. J. A. Sloane, Slides of Guest Lecture given in Doron Zeilberger's Experimental Mathematics Class, Rutgers University, May 2, 2016.
- 338. The OEIS, Mathematical Discovery, and Insomnia,
N. J. A. Sloane, Slides of plenary talk presented at Computational Discovery in Mathematics, Western University, London, Ontario, May 12-16, 2016.
- 339. Lengths of Cycle Times in Random Neural Networks,
N. J. A. Sloane, Ph. D. Dissertation, Cornell University, February 1967; also Report No. 10, Cognitive Systems Research Program, Cornell University, 1967.
DOI: 10.13140/RG.2.1.2944.7920.
- 340. Automated Proofs (or Disproofs) of Linear Recurrences Satisfied by Pisot Sequences,
Shalosh B. Ekhad, N. J. A. Sloane, and Doron Zeilberger, 2016.
Also arXiv:1609.05570, although the version on my home page may be more up-to-date.
- 341. Guest Lecture October 3 2016,
N. J. A. Sloane, Slides of Guest Lecture given in Doron Zeilberger's Experimental Mathematics Class, Rutgers University, Fall Semester, Oct. 3, 2016.
- 342. Counting Words that are in "Standard Order,
Joerg Arndt and N. J. A. Sloane, Text file analyzing many sequences related to entries A278984, A278986, A278987 in OEIS, December 2016.
- 343. Analysis of the Gift Exchange Problem,
Moa Apagodu, David Applegate, N. J. A. Sloane, Doron Zeilberger, 2017.
Electronic Journal of Combinatorics, Vol. 24 (No. 3, 2017), Article P3.9.
Also arXiv:1701.08394.
- 344.
N. J. A. Sloane, Winter Fruits: New Problems from the OEIS, Dec. 2016 - Jan. 2017. Talk in Doron Zeilberger's Experimental Math Seminar at Rutgers University, Jan 26 2017: Part 1, Part 2, Slides [Slides 15, 21, 22 have been changed since the talk]
- 345. Confessions of a Sequence Addict (AofA 2017),
N. J. A. Sloane, Slides of invited talk at Analysis of Algorithms (AofA) 2017, Princeton University, June 19 2017.
- 346.
N. J. A. Sloane, Three (No, 8) Lovely Problems from the OEIS, Experimental Mathematics Seminar, Rutgers University, Oct 05 2017, Part I, Part 2, Slides.
- 347.
C. Goodman-Strauss and N. J. A. Sloane,
A Coloring Book Approach to Finding Coordination Sequences, Acta Crystallographica Section A: Foundations and Advances, 2019, Volume A75, pages 121-134. Also on my home page.
Also arXiv:1803.08530.
- 348. The On-Line Encyclopedia of Integer Sequences,
N. J. A. Sloane, Notices, Amer. Math. Soc., 65 (No. 9, Oct. 2018), 1062-1074.
Reprinted in "The Best Writing on Mathematics 2019", ed. M. Pitici, Princeton Univ. Press, 2019, pp. 90-119 and colored illustrations following page 80.
- 349.
Primes on the Moon (Lunar Arithmetic),
Brady Haran and N. J. A. Sloane, Numberphile video, Nov 2018.
- 350.
N. J. A. Sloane, Coordination Sequences, Planing Numbers, and Other Recent Sequences. Talk in Doron Zeilberger's Experimental Math Seminar at Rutgers University, Nov. 15 2018: Part 1, Part 2, Slides [Some slides have been changed since the talk]
- 351.
Eric Angelini, Lars Blomberg, Charlie Neder, Remy Sigrist, and N. J. A. Sloane, "Choix de Bruxelles": A New Operation on Positive Integers, arXiv:1902.01444, Feb 2019; Fibonacci Quarterly 57:3 (2019), 195-200.
- 352.
What Number Comes Next?
,
Brady Haran and N. J. A. Sloane, Numberphile video, Nov 2018.
- 353.
Terrific Toothpick Patterns
,
Brady Haran and N. J. A. Sloane, Numberphile video, Dec 2018.
- 354.
The Trapped Knight
,
Brady Haran and N. J. A. Sloane, Numberphile video, Jan 2019.
- 355.
N. J. A. Sloane, Coordination Sequences, Planing Numbers, and Other Recent Sequences (II). Talk in Doron Zeilberger's Experimental Math Seminar at Rutgers University, Jan 31 2019; Part 1, Part 2,
- 356.
How many ways can circles overlap?
,
Brady Haran and N. J. A. Sloane, Numberphile video, August 2019.
- 357.
F. Michel Dekking, Jeffrey Shallit, and N. J. A. Sloane, Queens in exile: non-attacking queens on infinite chess boards, Electronic J. Combin., 27:1 (2020), #P1.52.
- 358.
Numberphile Podcast, The Number Collector (with Neil Sloane), August 2019.
- 359.
Peaceable Queens,
Brady Haran and N. J. A. Sloane, Numberphile video, May 2019.
- 360.
Don't Know (the Van Eck Sequence),
Brady Haran and N. J. A. Sloane, Numberphile video, June 2019.
- 361.
Amazing Graphs (I),
Brady Haran and N. J. A. Sloane, Numberphile video, August 2019.
- 362.
Amazing Graphs (II),
Brady Haran and N. J. A. Sloane, Numberphile video, August 2019.
- 363.
Amazing Graphs (III),
Brady Haran and N. J. A. Sloane, Numberphile video, August 2019.
- 364.
N. J. A. Sloane, Old and New Problems from 55 Years of the OEIS. Talk in Doron Zeilberger's Experimental Math Seminar at Rutgers University, October 10 2019; Video,
Slides [These slides include some that I did not have time to show in the talk, along with updates to some that I did show.]
- 365.
N. J. A. Sloane (in collaboration with Scott R. Shannon),
Art and Sequences, Guest lecture in Math 640, Rutgers Univ., Feb 8, 2020 (slides).
- 366.
Max A. Alekseyev, Joseph Samuel Myers, Richard Schroeppel, S. R. Shannon, N. J. A. Sloane, and Paul Zimmermann, Three Cousins of Recaman's Sequence, arXiv:2004:14000, July 2020; Fibonacci Quart. 60 (2022), no. 3, 201-219.
- 367.
Dungeon Numbers,
Dungeon Numbers (extra),
Brady Haran and N. J. A. Sloane, Numberphile video, July 2020.
- 368.
Lars Blomberg, Scott R. Shannon, and N. J. A. Sloane,
Graphical Enumeration and Stained Glass Windows, 1: Rectangular Grids, Integers, Ron Graham Memorial Volume 21A (2021), #A5. Also in book, "Number Theory and Combinatorics: A Collection in Honor of the Mathematics of Ronald Graham", ed. B. M. Landman et al., De Gruyter, 2022, pp. 65-97.
- 369.
The Brussels Choice (also called Choix de Bruxelles),
Brady Haran and N. J. A. Sloane, Numberphile video, August 2020.
- 370.
Conant's Gasket, Recaman Variations, the Enots Wolley Sequence, and Stained Glass Windows, Experimental Math Seminar, Rutgers University, Sep 10 2020 (video of Zoom talk).
- 371.
Richard Guy and the Encyclopedia of Integer Sequences: A Fifty-Year Friendship, Slides of talk at Conference "Celebrating Richard Guy", University of Calgary, October 2, 2020.
- 372.
Bad Furniture (a poem), December 27, 2020.
- 373.
George Baloglou, Chaim Goodman-Strauss, Maurizio Paolini, Remy Sigrist, N. J. A. Sloane, Joshua Socolar,
The Kenyon Tiling of the Quarter-Plane,
First Draft, March 2 2021.
- 374.
Exciting Number Sequences, Video of talk for Rutgers Day 2021, Rutgers University, April 2021. Another copy is on my home page, here.
- 375.
The Levine Sequence,
Brady Haran and N. J. A. Sloane, Numberphile video, March 2021.
- 376.
Eureka Sequences (also called Choix de Bruxelles),
Brady Haran and N. J. A. Sloane, Numberphile video, April 2021.
- 377.
Brady Haran and N. J. A. Sloane, Planing Sequences (Le Rabot), Numberphile video, June 2021.
- 378.
Brady Haran and N. J. A. Sloane, A Sequence with a Mistake, Numberphile video, May 2021.
- 379.
N. J. A. Sloane,
The OEIS: A Fingerprint File for Mathematics, article for "Early Careers" section of Notices of Amer. Math. Soc., 68:9 (October 2021), 1515-1516.
- 380.
N. J. A. Sloane,
Lovely New Problems From the Past Months, Talk in Doron Zeilberger's Experimental Math Seminar at Rutgers University, Sept. 9, 2021; Video, Slides
- 381.
Brady Haran and N. J. A. Sloane, Most wanted prime, Numberphile video, December 2021.
- 382. On Kaprekar's Junction Numbers,
Max A. Alekseyev and N. J. A. Sloane, Journal of Combinatorics and Number Theory, 12.3 (2020) [2023], 115-155.
- 383.
Brady Haran and N. J. A. Sloane, Stones on an Infinite Chessboard, Numberphile video, January 2022.
-
384.
N. J. A. Sloane,
The On-Line Encyclopedia of Integer Sequences: An illustrated guide with many unsolved problems,
Guest Lecture given in Doron Zeilberger's Experimental Mathematics Math640 Class, Rutgers University, Spring Semester, Apr 28 2022:
Video,
Slides.
-
385.
N. J. A. Sloane,
Blog: The Two-Up Sequence A090252,
Blog, June 13 2022.
This blog is now frozen.
-
386.
Michael De Vlieger, Thomas Scheuerle, R\'{e}my Sigrist, N. J. A. Sloane, and Walter Trump, The Binary Two-Up Sequence, arXiv:2209.04108, Sep 11 2022.
- 387.
N. J. A. Sloane,
New Sequence Problems and Solutions from 2022, Talk in Doron Zeilberger's Experimental Math Seminar at Rutgers University, Sept. 15, 2022; Youtube video, Slides
- 388.
Brady Haran and N. J. A. Sloane, Problems with Powers of Two, Youtube Numberphile Video, Sep 21 2022; STOP PRESS: Postscript to Problems with Powers of Two, Sep 21 2022. See A352178 for the latest results.
- 389.
Brady Haran and N. J. A. Sloane, "A Number Sequence with Everything" (the Inventory Sequence A342585), Numberphile video, November 2022.
- 390.
N. J. A. Sloane,
"A Handbook of Integer Sequences" 50 Years Later, Preprint, Jan 17 2023; (arXiv: http://arxiv.org/abs/2301.03149, Jan 16 2023)
- 391.
Brady Haran and N. J. A. Sloane, The Yellowstone Permutation, Numberphile video, Jan 29 2023.
-
392.
N. J. A. Sloane and Gavin A. Theobald, On Dissecting Polygons into Rectangles, arXiv:2309.14866 [math.CO], 2023.
- 393.
N. J. A. Sloane,
New Gilbreath Conjectures, Sum and Erase, Dissecting Polygons, and Other New Sequences,
Talk in Doron Zeilberger's Experimental Math Seminar at Rutgers University, Sept. 14, 2023:
Video (Youtube),
Video (Vimeo),
Slides,
Another copy of slides,
Postscript to talk.
- 394.
N. J. A. Sloane,
Pictures from 50 Years of the OEIS,
Talk in Kansas State University Mathematics Department's
Art and Mathematics Seminar, Nov. 2 2023:
Video,
Slides,
Another copy of slides.
- 395.
Eric Angelini, Michael S. Branicky, Giovanni Resta, N. J. A. Sloane, and David W. Wilson,
The Comma Sequence: A Simple Sequence With Bizarre Properties, arXiv:2401.14346, Jan 25 2024. Fibonacci Quart. 62 (2024), no. 3, 215-232.
- 396.
N. J. A. Sloane,
Eric Angelini's Comma Sequence,
Talk in Doron Zeilberger's Experimental Math Seminar at Rutgers University, January 18, 2024:
Youtube,
Vimeo video,
Slides,
Another copy of slides.
- 397.
J. A. Reeds and N. J. A. Sloane,
A Finite Matrix with Grothendieck Ratio Greater than Sqrt(2), Manuscript, June 2024. [A write-up of work we did about 20 years ago.]
- 398.
N. J. A. Sloane,
A Nasty Surprise in a Sequence and Other OEIS Stories,
Talk in Doron Zeilberger's Experimental Math Seminar at Rutgers University, Oct 10, 2024 (my 85th b'day):
Youtube,
Vimeo video,
[The talk begins after about 60 seconds of confusion.]
Slides,
Another copy of slides.
- 399.
N. J. A. Sloane,
Eric Angelini's Greatest Sequences,
Talk in Doron Zeilberger's Experimental Math Seminar at Rutgers University, Dec 19, 2024:
Youtube,
Vimeo video,
Slides,
Another copy of slides.
See also My home page