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Search: id:A108095
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| A108095 |
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Coefficients of series whose square is the weight enumerator of the [8,4,4] Hamming code (see A002337). |
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+0
3
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| 1, 7, -24, 168, -1464, 14280, -149208, 1633128, -18483576, 214552968, -2540241816, 30557794344, -372427799352, 4588869057864, -57068241380952, 715388746153704, -9030126770703096, 114677768635083528, -1464172925174652696, 18783553808927819688, -242002474839216810168
(list; graph; listen)
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OFFSET
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0,2
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LINKS
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N. Heninger, E. M. Rains and N. J. A. Sloane, On the Integrality of n-th Roots of Generating Functions, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.
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FORMULA
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G.f.: sqrt(1+14*x^4+x^8).
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EXAMPLE
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More precisely, the Hamming code has weight enumerator 1 + 14*x^4 + x^8, and the square root of this is 1 + 7*x^4 - 24*x^8 + 168*x^12 - 1464*x^16 + 14280*x^20 - 149208*x^24 + ...
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CROSSREFS
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Cf. A002337, A002393.
Sequence in context: A129797 A007750 A009643 this_sequence A009646 A009650 A111753
Adjacent sequences: A108092 A108093 A108094 this_sequence A108096 A108097 A108098
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KEYWORD
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sign
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AUTHOR
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njas and Michael Somos, Jun 06 2005
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