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

Terms

a(0) =1a(1) =1a(2) =4a(3) =25a(4) =190a(5) =1648a(6) =15700a(7) =160834a(8) =1747372a(9) =19945264a(10) =237585064a(11) =2938737760a(12) =37602695500a(13) =496263658816