G.f. A(x) satisfies A( x - A(x)^2 ) = x.

Terms

a(0) =1a(1) =1a(2) =4a(3) =24a(4) =178a(5) =1512a(6) =14152a(7) =142705a(8) =1528212a(9) =17211564a(10) =202460400a(11) =2474708496a(12) =31310415376a(13) =408815254832