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A051461 Molien series for group G_{1,3} of order 2304. +0
1
1, 0, 1, 15, 37, 78, 229, 419, 721, 1341, 2152, 3214, 5083, 7324, 10167, 14485, 19637, 25772, 34575, 44663, 56511, 72419, 90552, 111188, 138093, 168064, 201909, 244403, 291549, 343794, 408225, 478659, 556325, 649809, 751696, 862642, 994583 (list; graph; listen)
OFFSET

0,4

LINKS

Index entries for Molien series

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.

FORMULA

G.f.: (x^18 + 4*x^17 + 19*x^16 + 30*x^15 + 47*x^14 + 97*x^13 + 128*x^12 + 113*x^11 + 186*x^10 + 161*x^9 + 97*x^8 + 108*x^7 + 98*x^6 + 27*x^5 + 23*x^4 + 13*x^3 - x + 1)/((x - 1)^6*(x + 1)^3*(x^2 + x + 1)^4*(x^2 - x + 1)^2).

CROSSREFS

Sequence in context: A082112 A059605 A147221 this_sequence A039605 A032654 A154988

Adjacent sequences: A051458 A051459 A051460 this_sequence A051462 A051463 A051464

KEYWORD

nonn,easy,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from Antonio G. Astudillo (afg_astudillo(AT)hotmail.com), Jun 15 2001

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Last modified December 20 00:58 EST 2009. Contains 171054 sequences.


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