A036730 G.f. satisfies A(x) = 1 + x*cycle_index(G,A(x)) where G = cyclic group of order 13 generated by (1,2,...,13).
1, 1, 1, 7, 41, 252, 1675, 11634, 83181, 608818, 4539896, 34364253, 263355143, 2039370396, 15933107322, 125436559380, 994121046225, 7924935634275, 63504334502998, 511233121598277, 4132727837100768, 33533674854227400
Offset: 0