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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
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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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N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
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.
Sequence in context: A007982 A011904 A047809 this_sequence A019450 A098169 A055610
Adjacent sequences: A014123 A014124 A014125 this_sequence A014127 A014128 A014129
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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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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