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Search: id:A051462
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| A051462 |
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Molien series for group G_{1,2}^{8} of order 1536. |
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+0
1
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| 1, 4, 11, 25, 48, 83, 133, 200, 287, 397, 532, 695, 889, 1116, 1379, 1681, 2024, 2411, 2845, 3328, 3863, 4453, 5100, 5807, 6577, 7412, 8315, 9289, 10336, 11459, 12661, 13944, 15311, 16765, 18308, 19943, 21673, 23500, 25427, 27457, 29592
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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This is the Clifford-Weil group for complete weight enumerators of codes over Z/4Z of Type 4_{II}^Z.
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..1000
E. Bannai, S. T. Dougherty, M. Harada and M. Oura, Type II Codes, Even Unimodular Lattices and Invariant Rings, IEEE Trans. Information Theory, Volume 45, Number 4, 1999, 1194-1205.
G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006. [Eq. (8.2.18), p. 233.]
Index entries for Molien series
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FORMULA
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Third differences are periodic with period 3.
a(n) = 1 + n + 2n^2 + 3[(n + 2)((n-1)^2)/18] + 2[(n + 1)((n-2)^2)/18] + 3[n((n-3)^2)/18] (where [..] denotes the floor function) - John W. Layman (layman(AT)math.vt.edu), Nov 22 2000
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MAPLE
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(1+x)*(1+x^2)^2/((1-x)^3*(1-x^3));
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CROSSREFS
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Sequence in context: A159349 A115294 A110610 this_sequence A006004 A006522 A036837
Adjacent sequences: A051459 A051460 A051461 this_sequence A051463 A051464 A051465
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KEYWORD
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nonn,easy,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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