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

Terms

a(0) =1a(1) =1a(2) =1a(3) =4a(4) =10a(5) =25a(6) =210a(7) =978a(8) =2336a(9) =25265a(10) =361424a(11) =1557752a(12) =-1098528a(13) =140915385a(14) =2093367328a(15) =10484632486a(16) =133131785728