Expansion of e.g.f. log( 1 + x^3 * exp(x) / 3! ).

Terms

a(0) =0a(1) =0a(2) =0a(3) =1a(4) =4a(5) =10a(6) =10a(7) =-105a(8) =-1064a(9) =-6076a(10) =-16680a(11) =129525a(12) =2642860a(13) =25431406a(14) =130210444a(15) =-639438345a(16) =-26431524560a(17) =-382074099000