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

Terms

a(0) =1a(1) =2a(2) =8a(3) =44a(4) =308a(5) =2612a(6) =25988a(7) =296564a(8) =3816548a(9) =54667412a(10) =862440068a(11) =14857100084a(12) =277474957988