Expansion of e.g.f. (1+x)^sin(x).

Terms

a(0) =1a(1) =0a(2) =2a(3) =-3a(4) =16a(5) =-80a(6) =440a(7) =-3171a(8) =24680a(9) =-218952a(10) =2170018a(11) =-23566675a(12) =279907076a(13) =-3603250716a(14) =49968204078a(15) =-742893013695