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Search: id:A018236
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| A018236 |
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Weight distribution of hypothetical [ 72,36,16 ] doubly-even binary self-dual code. |
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5
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| 1, 0, 0, 0, 249849, 18106704, 462962955, 4397342400, 16602715899, 25756721120, 16602715899, 4397342400, 462962955, 18106704, 249849, 0, 0, 0, 1
(list; graph; listen)
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OFFSET
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0,5
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REFERENCES
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N. J. A. Sloane, Is There a (72,36) d = 16 Self-Dual Code?, IEEE Trans. Information Theory, vol. IT-19 (1973), p. 251.
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LINKS
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E. M. Rains and N. J. A. Sloane, Self-dual codes, pp. 177-294 of Handbook of Coding Theory, Elsevier, 1998 (Abstract, pdf, ps).
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FORMULA
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Let f = x^8 + 14 x^4 y^4 + y^8, g = x^4 y^4 (x^4-y^4)^4. Form the unique linear combination of f^9, f^6 g, f^3 g^2 and g^3 that begins x^72 + A_4 x^68 y^4 + A_8 x^64 y^8 + ..., with A_4 = A_8 = A_12 = 0, Set x=1, replace y^4 by y, and we have the g.f. for this sequence.
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CROSSREFS
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Cf. A004675, A019590, A120373.
Sequence in context: A017405 A109691 A017525 this_sequence A043655 A058004 A113567
Adjacent sequences: A018233 A018234 A018235 this_sequence A018237 A018238 A018239
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KEYWORD
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nonn,fini,full
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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