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Search: id:A092071
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| A092071 |
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Molien series for complete weight enumerators of self-dual codes over GF(9). |
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+0
1
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| 1, 1, 2, 8, 27, 71, 197, 482, 1060, 2241, 4429, 8241, 14788, 25473, 42288, 68302, 107329, 164450, 246870, 363341, 525037, 746901, 1046759, 1446661, 1974912, 2664696, 3556123, 4699051, 6151182, 7980924, 10271230, 13117013, 16629061, 20939082, 26196340, 32572742
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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The invariant ring for a 9-dimensional group +-SP_2(9) of order 1440.
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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 + 2*t^6 + 17*t^8 + 36*t^10 + 89*t^12 + 167*t^14 + 278*t^16 + 428*t^18 + 590*t^20 + 704*t^22 + 760*t^24 + 745*t^26 + 643*t^28 + 504*t^30 + 365*t^32 + 223*t^34 + 118*t^36 + 56*t^38 + 23*t^40 + 6*t^42 + 4*t^44 + t^46;
u2 := (1-t^2)*(1-t^4)*(1-t^6)^4*(1-t^8)*(1-t^10)^2; MS := u1/u2;
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CROSSREFS
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Sequence in context: A027267 A060414 A087241 this_sequence A100505 A102759 A076884
Adjacent sequences: A092068 A092069 A092070 this_sequence A092072 A092073 A092074
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KEYWORD
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nonn
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AUTHOR
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njas, Mar 30 2004
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