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%I #7 Oct 04 2012 10:28:50
%S 1,1,7,42,208,894,3146,9371,24621,58396,127338,259253,498222,911351,
%T 1598066,2701014,4419940,7029349,10898668,16516900,24522640,35737692,
%U 51207017,72245749,100491392,137964064,187136346,251009565,333200503,438040309,570681389
%N Molien series for complete weight enumerators of self-dual codes over GF(9) containing the all-ones vector.
%C The invariant ring for a 9-dimensional group +-3^{1+4}.SP_2(9) of order 349920.
%H G. Nebe, E. M. Rains and N. J. A. Sloane, <a href="http://neilsloane.com/doc/cliff2.html">Self-Dual Codes and Invariant Theory</a>, Springer, Berlin, 2006.
%p (Maple code for Molien series:)
%p 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;
%p u2 := (1-t^6)*(1-t^12)^2*(1-t^18)^3*(1-t^24)*(1-t^30)^2; MS := u1/u2;
%K nonn
%O 0,3
%A _N. J. A. Sloane_, Mar 30 2004
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