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A051531
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Molien series for group H_{1,3}^{8} of order 2304.
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0
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1, 1, 4, 15, 24, 44, 81, 115, 168, 247, 322, 424, 561, 693, 860, 1071, 1276, 1524, 1825, 2119, 2464, 2871, 3270, 3728, 4257, 4777, 5364, 6031, 6688, 7420, 8241, 9051, 9944, 10935, 11914, 12984, 14161, 15325, 16588, 17967, 19332, 20804
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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LINKS
| 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.
Index entries for Molien series
Index to sequences with linear recurrences with constant coefficients, signature (2,-1,2,-4,2,-1,2,-1).
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FORMULA
| G.f. ( 1-x+3*x^2+6*x^3+5*x^5+2*x^6 ) / ( (1+x+x^2)^2*(x-1)^4 ). - R. J. Mathar, Oct 01 2011
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MAPLE
| (1+2*x^2+9*x^3+6*x^4+5*x^5+7*x^6+2*x^7)/((1-x)*(1-x^2)*(1-x^3)^2);
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CROSSREFS
| Sequence in context: A167293 A192201 A054308 * A062835 A203231 A060052
Adjacent sequences: A051528 A051529 A051530 * A051532 A051533 A051534
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KEYWORD
| nonn,easy,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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