A036737 G.f. satisfies A(x) = 1 + x*cycle_index(G,A(x)) where G = cyclic group of order 41 generated by (1,2,...,41).
1, 1, 1, 21, 321, 4431, 63429, 969087, 15382545, 249244338, 4107163191, 68716945920, 1164359443533, 19935492104010, 344346982288071, 5993536584212436, 105018405221562585, 1850933501297074929, 32792012556842728050, 583652338245954384960
Offset: 0