A088219 Coefficient of x^n in g.f.^n is A086608(n).
1, 1, 1, 2, 2, 6, 12, 29, 64, 114, 404, 641, 2637, 3289, 15853, 22068, 98168, 164238, 547111, 1292502, 3020056, 10442124, 15954682, 79385179, 89229089, 576106142, 595912173, 3848976774, 4853522881, 23699101223, 44768315427, 132700765034
Offset: 0