Expansion of e.g.f. Product_{k>0} (1 + sin(x)^k / k!).

Terms

a(0) =1a(1) =1a(2) =1a(3) =3a(4) =1a(5) =-23a(6) =-2a(7) =-28a(8) =-2435a(9) =253a(10) =118966a(11) =158400a(12) =-5277106a(13) =-6453094a(14) =377003877a(15) =150562341a(16) =-38919169331a(17) =-49489639843