Expansion of e.g.f. of exp(arcsinh(x)/exp(x)).

Terms

a(0) =1a(1) =1a(2) =-1a(3) =-3a(4) =9a(5) =25a(6) =-145a(7) =-539a(8) =3857a(9) =30129a(10) =-192673a(11) =-2816979a(12) =17218201a(13) =364417417a(14) =-2297788337a(15) =-63429766763a(16) =417350455329