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%I #9 Oct 04 2012 10:28:50
%S 1,3,11,38,127,396,1179,3297,8746,22002,52730,120770,265416,561440,
%T 1146924,2268970,4358413,8147638,14854450,26461264,46135068,78845138,
%U 132262964,218050742,353688548,565028243,889832807,1382620648,2121243721,3215727006
%N Molien series for 16-dimensional group of structure O_{4}^{+}(2) and order 72, corresponding to genus 2 complete weight enumerators of Hermitian self-dual GF(2)-linear codes over GF(4).
%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 u1 := f0 + x^30*subs(x=x^(-1), f0); f0 := 1 + 10*x^3 + 25*x^4 + 53*x^5 + 121*x^6 + 247*x^7 + 471*x^8 + 803*x^9 + 1201*x^10 + 1674*x^11 + 2182*x^12 + 2616*x^13 + 2911*x^14 + 1509*x^15; u2 := (1-x)^3*(1-x^2)^5*(1-x^3)^3*(1-x^4)^3*(1-x^6)^2.
%Y Cf. A092203.
%K nonn
%O 0,2
%A _N. J. A. Sloane_, Apr 02 2004