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%I #3 Mar 30 2012 16:47:42
%S 1,1,3,18,109,768,5652,43618,346353,2816526,23321925,196005552,
%T 1667527836,14333190427,124283998707,1085847441828,9549523972105,
%U 84471264138366,751042470499425,6708237169875867,60164133936171522
%N G.f. satisfies A(x) = 1 + x*cycle_index(G,A(x)) where G = cyclic group of order 2 generated by (1,2)(3,4)(5,6).
%Y Cf. A036717-A036723.
%K nonn
%O 0,3
%A _N. J. A. Sloane_.