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Search: id:A005864
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| A005864 |
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The coding-theoretic function A(n,4).
(Formerly M1111)
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+0
3
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| 1, 1, 1, 2, 2, 4, 8, 16, 20, 40, 72, 144, 256, 512, 1024, 2048
(list; graph; listen)
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OFFSET
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1,4
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COMMENT
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Since A(n,3) = A(n+1,4), A(n,3) gives essentially the same sequence.
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REFERENCES
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S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures}, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
A. E. Brouwer, J. B. Shearer, N. J. A. Sloane and W. D. Smith, New table of constant weight codes, IEEE Trans. Info. Theory 36 (1990), 1334-1380.
J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 248.
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LINKS
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S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures}, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
S. Litsyn, E. M. Rains and N. J. A. Sloane, A(n,d) tables.
P. R. J. Ostergard (patric.ostergard(AT)hut.fi), T. Baicheva and E. Kolev, Optimal binary one-error-correcting codes of length 10 have 72 codewords, IEEE Trans. Inform. Theory, 45 (1999), 1229-1231.
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
Index entries for sequences related to A(n,d)
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MAPLE
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A005864:=(-1+z+z**2+z**3)/(-1+2*z); [Conjectured by S. Plouffe in his 1992 dissertation.]
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CROSSREFS
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Cf. A005865, A005866.
Sequence in context: A075126 A098788 A054243 this_sequence A112433 A090129 A001137
Adjacent sequences: A005861 A005862 A005863 this_sequence A005865 A005866 A005867
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KEYWORD
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nonn,hard,nice
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AUTHOR
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njas
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EXTENSIONS
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The next term is in the range 2720-3276.
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