A036729 G.f. satisfies A(x) = 1 + x*cycle_index(G,A(x)) where G = cyclic group of order 11 generated by (1,2,...,11).
1, 1, 1, 6, 31, 171, 1018, 6320, 40407, 264494, 1763721, 11938126, 81811270, 566505623, 3957683000, 27860809916, 197440008065, 1407393565655, 10084285158674, 72590696159500, 524707835158671, 3806969433487560, 27715036541611090
Offset: 0