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%I #9 Oct 04 2012 10:28:50
%S 1,5,31,160,706,2716,9331,28981,82771,219806,548068,1293146,2906218,
%T 6254416,12948238,25885894,50139094,94358704,172962834,309473934,
%U 541528218,928266020,1561085648,2579068700,4190837573,6705148385,10573260725,16446987970,25257491270
%N Molien series for 16-dimensional group of structure S_3 and order 6, corresponding to complete weight enumerators of Hermitian self-dual GF(4)-linear codes over GF(16).
%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.
%H <a href="/index/Mo#Molien">Index entries for Molien series</a>
%F G.f. = u1/u2, where f := 1 + 10*x^2 + 40*x^3 + 90*x^4 + 180*x^5 + 340*x^6 + 420*x^7 + 215*x^8; u1 := f+x^16*subs(x=1/x, f); u2 := (1-x)^5*(1-x^2)^6*(1-x^3)^5;
%Y Cf. A092497.
%K nonn
%O 0,2
%A _N. J. A. Sloane_, Apr 05 2004