%I #3 Mar 30 2012 16:47:42
%S 1,1,1,4,15,62,274,1260,5973,28975,143176,718070,3645876,18703560,
%T 96799076,504797258,2649947859,13992164283,74262871273,395964705460,
%U 2119994732940,11392843953996,61432524907686,332279234332898,1802324611950162
%N G.f. satisfies A(x) = 1 + x*cycle_index(G,A(x)) where G = cyclic group of order 7 generated by (1,2,...,7).
%Y Cf. A036717-A036726.
%K nonn
%O 0,4
%A _N. J. A. Sloane_.