A036736 G.f. satisfies A(x) = 1 + x*cycle_index(G,A(x)) where G = cyclic group of order 37 generated by (1,2,...,37).
1, 1, 1, 19, 265, 3382, 45127, 642124, 9472141, 142620175, 2184923102, 33988562262, 535424509399, 8522588308676, 136861340397600, 2214681188316280, 36077557678826285, 591161620794823095, 9737057245791110455, 161123397926645680215, 2677275836361432889470
Offset: 0