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

Terms

a(0) =0a(1) =1a(2) =-3a(3) =10a(4) =-50a(5) =340a(6) =-2888a(7) =29440a(8) =-350160a(9) =4759760a(10) =-72787488a(11) =1236761920a(12) =-23115758720a(13) =471323145280