A036727 G.f. satisfies A(x) = 1 + x*cycle_index(G,A(x)) where G = cyclic group of order 5 generated by (1,2,3,4,5).
1, 1, 1, 3, 9, 30, 107, 392, 1489, 5783, 22874, 91822, 373111, 1531744, 6343528, 26469872, 111180537, 469696489, 1994490659, 8508116485, 36443396006, 156680537096, 675885192670, 2924577632532, 12690327612739, 55208106904873
Offset: 0