Expansion of e.g.f. exp(x*exp(x)-x).

Terms

a(0) =1a(1) =0a(2) =2a(3) =3a(4) =16a(5) =65a(6) =336a(7) =1897a(8) =11824a(9) =80145a(10) =586000a(11) =4588001a(12) =38239224a(13) =337611001a(14) =3144297352a(15) =30779387745a(16) =315689119456