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

Terms

a(0) =1a(1) =1a(2) =-2a(3) =0a(4) =14a(5) =-70a(6) =232a(7) =-308a(8) =-4044a(9) =58788a(10) =-574392a(11) =4926768a(12) =-38678088a(13) =265429320a(14) =-1203040512a(15) =-6939932400a(16) =339735301008