%I #3 Mar 30 2012 16:47:42
%S 1,1,1,3,7,22,65,212,697,2372,8179,28703,101851,365393,1322034,
%T 4820378,17691018,65306700,242317423,903242615,3380707920,12700575742,
%U 47874113728,181013422393,686341240781,2609093456212,9941953711409
%N G.f. satisfies A(x) = 1 + x*cycle_index(Cyclic(4), A(x)).
%Y Cf. A036717, A036718.
%K nonn
%O 0,4
%A _N. J. A. Sloane_.