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Search: id:A092069
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| A092069 |
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Molien series for genus 2 complete weight enumerators of self-dual codes over GF(3). |
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1
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| 1, 1, 1, 11, 35, 70, 278, 765, 1526, 3774, 8105, 14633, 28560, 51983, 85609, 145591, 237609, 364095, 565831, 855788, 1240383, 1808777, 2587237, 3590112, 4992854, 6844101, 9172450, 12296446, 16300139, 21235896, 27646466, 35669378, 45394358, 57699934, 72801345
(list; graph; listen)
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OFFSET
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0,4
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COMMENT
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The invariant ring for a 9-dimensional group Z_4 X SP_4(3) of order 207360.
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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.
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MAPLE
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(Maple code for Molien series:)
u1 := 1 + t^4 + 6*t^12 + 30*t^16 + 57*t^20 + 207*t^24 + 565*t^28 + 1000*t^32 + 2031*t^36 + 3880*t^40 + 5804*t^44 + 8696*t^48 + 12991*t^52 + 16595*t^56 + 20527*t^60 + 25965*t^64 + 29418*t^68 + 31536*t^72 + 34772*t^76 + 35273*t^80
+ 33093*t^84 + 31969*t^88 + 29068*t^92 + 23862*t^96 + 20052*t^100 + 16217*t^104 + 11369*t^108 + 7996*t^112 + 5554*t^116 + 3097*t^120 + 1642*t^124 + 930*t^128 + 350*t^132 + 104*t^136 + 51*t^140 + 9*t^144 + t^148 + t^152;
u2 := (1-t^36)^2*(1-t^20)^2*(1-t^12)^4*(1-t^8); MS := u1/u2;
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CROSSREFS
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Sequence in context: A054475 A029540 A118554 this_sequence A103115 A003777 A098116
Adjacent sequences: A092066 A092067 A092068 this_sequence A092070 A092071 A092072
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Mar 30 2004
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