%I A092497
%S A092497 1,1,5,16,64,196,661,1921,5431,14106,35006,81858,183616,393568,813916,
               1624114,
%T A092497 3143974,5910904,10831414,19369614,33887006,58069748,97645340,161289668,
%U A092497 262066349,419245385,661069025,1028234130,1578996010,2395570650,3593235173
%N A092497 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) containing the all-ones vector.
%H A092497 G. Nebe, E. M. Rains and N. J. A. Sloane, <a href="http://www.research.att.com/
               ~njas/doc/cliff2.html">Self-Dual Codes and Invariant Theory</a>, 
               Springer, Berlin, 2006.
%H A092497 <a href="Sindx_Mo.html#Molien">Index entries for Molien series</a>
%F A092497 G.f. = u1/u2, where f := 1 + 4*x^3 + 34*x^4 + 88*x^5 + 237*x^6 + 516*x^7 
               + 1161*x^8 + 2176*x^9 + 3726*x^10 + 5478*x^11 + 7524*x^12 + 9296*x^13 
               + 10805*x^14 + 5610 *x^15; u1 := f+x^30*subs(x=1/x, f); u2 := (1-x)*(1-x^2)^4*(1-x^3)^7*(1-x^4)^4.
%Y A092497 Cf. A092496.
%Y A092497 Sequence in context: A077235 A098347 A034532 this_sequence A026525 A007043 
               A128242
%Y A092497 Adjacent sequences: A092494 A092495 A092496 this_sequence A092498 A092499 
               A092500
%K A092497 nonn
%O A092497 0,3
%A A092497 N. J. A. Sloane (njas(AT)research.att.com), Apr 05 2004