Expansion of e.g.f.: log(1+sin(x))/exp(x).

Terms

a(0) =0a(1) =1a(2) =-3a(3) =7a(4) =-16a(5) =40a(6) =-117a(7) =411a(8) =-1720a(9) =8384a(10) =-46561a(11) =289595a(12) =-1991504a(13) =14993108a(14) =-122595085a(15) =1081616659a(16) =-10239597968a(17) =103522029312