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A092072
Molien series for complete weight enumerators of self-dual codes over GF(9) containing the all-ones vector.
0
1, 1, 7, 42, 208, 894, 3146, 9371, 24621, 58396, 127338, 259253, 498222, 911351, 1598066, 2701014, 4419940, 7029349, 10898668, 16516900, 24522640, 35737692, 51207017, 72245749, 100491392, 137964064, 187136346, 251009565, 333200503, 438040309, 570681389
OFFSET
0,3
COMMENTS
The invariant ring for a 9-dimensional group +-3^{1+4}.SP_2(9) of order 349920.
LINKS
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 + 4*t^12 + 32*t^18 + 154*t^24 + 602*t^30 + 1820*t^36 + 4383*t^42 + 8857*t^48 + 15425*t^54 + 23464*t^60 + 31635*t^66 + 38191*t^72 + 41354*t^78 + 40262*t^84 + 35271*t^90 + 27662*t^96 + 19295*t^102 + 11885*t^108 + 6373*t^114 + 2885*t^120 + 1079*t^126 + 323*t^132 + 68*t^138 + 12*t^144 + 3*t^150;
u2 := (1-t^6)*(1-t^12)^2*(1-t^18)^3*(1-t^24)*(1-t^30)^2; MS := u1/u2;
CROSSREFS
Sequence in context: A246434 A255614 A022731 * A319890 A319871 A374506
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Mar 30 2004
STATUS
approved