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Search: id:A014126
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| 1, 2, 5, 9, 15, 23, 34, 47, 64, 84, 108, 136, 169, 206, 249, 297, 351, 411, 478, 551, 632, 720, 816, 920, 1033, 1154, 1285, 1425, 1575, 1735, 1906, 2087, 2280, 2484, 2700, 2928, 3169, 3422, 3689, 3969, 4263, 4571, 4894, 5231, 5584, 5952, 6336, 6736, 7153
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Molien series for 4-dimensional group of structure S_4 X C_2 and order 48, arising from to complete weight enumerators of even trace-Hermitian self-dual additive codes over GF(4) containing the all-ones vector.
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REFERENCES
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H. R. Henze and C. M. Blair, The number of structurally isomeric hydrocarbons of the ethylene series, J. Amer. Chem. Soc., 55 (1933), 680-685.
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LINKS
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G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006.
Index entries for Molien series
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FORMULA
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G.f.: (1+x^2)/((1-x)^2*(1-x^2)*(1-x^3)). - James A. Sellers
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MAPLE
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with (combinat):seq(count(Partition((2*n)), size=4), n=2..50); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 28 2008
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CROSSREFS
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Cf. A092498, A014125, A000631, A001400.
Adjacent sequences: A014123 A014124 A014125 this_sequence A014127 A014128 A014129
Sequence in context: A007982 A011904 A047809 this_sequence A019450 A098169 A055610
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KEYWORD
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nonn,easy
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AUTHOR
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njas
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), Dec 24 1999
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