G.f. satisfies: A(x) = x + (1-x)*A(A(x))^2.

Terms

a(0) =1a(1) =1a(2) =3a(3) =16a(4) =108a(5) =836a(6) =7136a(7) =65708a(8) =643522a(9) =6638880a(10) =71649726a(11) =804833052a(12) =9373104396a(13) =112833093984