E.g.f. satisfies (1-x*A(x))*A(x*e^x)=1.

Terms

a(0) =1a(1) =1a(2) =2a(3) =9a(4) =44a(5) =285a(6) =2574a(7) =17479a(8) =240120a(9) =4294809a(10) =-53319430a(11) =2888052651a(12) =28103393988