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

Terms

a(0) =1a(1) =3a(2) =14a(3) =70a(4) =444a(5) =3108a(6) =25584a(7) =230256a(8) =2342880a(9) =25771680a(10) =312888960a(11) =4067556480a(12) =57424792320a(13) =861371884800