A036733 G.f. satisfies A(x) = 1 + x*cycle_index(G,A(x)) where G = cyclic group of order 23 generated by (1,2,...,23).
1, 1, 1, 12, 111, 1002, 9714, 99540, 1050699, 11335347, 124588322, 1390328886, 15708587942, 179337437284, 2065664506352, 23975801683480, 280144041520475, 3292561150068214, 38899147293746645, 461696518011468240, 5502718866101560144
Offset: 0