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A092498 Molien series for 4-dimensional group of structure S_3 X C_2 and order 12, arising from to complete weight enumerators of even trace-Hermitian self-dual additive codes over GF(4). +0
4
1, 4, 11, 23, 41, 67, 102, 147, 204, 274, 358, 458, 575, 710, 865, 1041, 1239, 1461, 1708, 1981, 2282, 2612, 2972, 3364, 3789, 4248, 4743, 5275, 5845, 6455, 7106, 7799, 8536, 9318, 10146, 11022, 11947, 12922, 13949, 15029, 16163, 17353, 18600, 19905, 21270 (list; graph; listen)
OFFSET

0,2

LINKS

G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006.

Index entries for Molien series

FORMULA

G.f.: (1 + x^2 + 2*x^4)/((1 - x^2)^3 *(1 - x^6)).

Non-aerated G.f.: (1+x+2x^2)/((1-x)^3*(1-x^3)). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 05 2009]

CROSSREFS

Cf. A014126.

Cf. A000969 (first differences). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 05 2009]

Sequence in context: A008172 A009907 A027378 this_sequence A131177 A019298 A014242

Adjacent sequences: A092495 A092496 A092497 this_sequence A092499 A092500 A092501

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Apr 05 2004

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.


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