E.g.f. A(x) satisfies A''(x)+A'(x)=exp(A(x))+1.

Terms

a(0) =1a(1) =1a(2) =0a(3) =2a(4) =2a(5) =10a(6) =28a(7) =130a(8) =564a(9) =3102a(10) =17464a(11) =114282a(12) =784008a(13) =5987482a(14) =48279164a(15) =422742854a(16) =3909897740a(17) =38675519334a(18) =403121938616