A092072 Molien series for complete weight enumerators of self-dual codes over GF(9) containing the all-ones vector.

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

Table of n, a(n) for n=0..30.

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 A261482

Adjacent sequences: A092069 A092070 A092071 * A092073 A092074 A092075

Keyword

nonn

Author

N. J. A. Sloane, Mar 30 2004

Status

approved