A036734 G.f. satisfies A(x) = 1 + x*cycle_index(G,A(x)) where G = cyclic group of order 29 generated by (1,2,...,29).
1, 1, 1, 15, 169, 1800, 20371, 244910, 3040077, 38536220, 497448748, 6520390159, 86537978247, 1160501200072, 15701226207738, 214065289477684, 2938015568578373, 40560724227425738, 562873413404115624, 7847402027686786922, 109861412175159915140
Offset: 0