A036735 G.f. satisfies A(x) = 1 + x*cycle_index(G,A(x)) where G = cyclic group of order 31 generated by (1,2,...,31).
1, 1, 1, 16, 191, 2136, 25282, 318288, 4141179, 55011100, 744023566, 10218244168, 142097817686, 1996654572040, 28305096013380, 404343620288016, 5814760281237459, 84111739834677030, 1223022979126528390, 17865805764222959380, 262068371593318209826
Offset: 0