Expansion of e.g.f. exp(exp(x)-1)/(1-x)^2.

Terms

a(0) =1a(1) =3a(2) =12a(3) =59a(4) =343a(5) =2302a(6) =17537a(7) =149711a(8) =1417444a(9) =14755947a(10) =167664955a(11) =2066153410a(12) =27460121377a(13) =391670868279