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

Terms

a(0) =0a(1) =1a(2) =2a(3) =2a(4) =0a(5) =4a(6) =40a(7) =-64a(8) =-1344a(9) =3984a(10) =85408a(11) =-356896a(12) =-8462080a(13) =45908160a(14) =1209040768a(15) =-8080805888a(16) =-235449260032