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A092071 Molien series for complete weight enumerators of self-dual codes over GF(9). 0
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; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

The invariant ring for a 9-dimensional group +-SP_2(9) of order 1440.

LINKS

Table of n, a(n) for n=0..35.

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

MAPLE

(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;

CROSSREFS

Sequence in context: A060414 A087241 A184628 * A289864 A290056 A100505

Adjacent sequences:  A092068 A092069 A092070 * A092072 A092073 A092074

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Mar 30 2004

STATUS

approved

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Last modified August 2 09:22 EDT 2021. Contains 346422 sequences. (Running on oeis4.)