Expansion of e.g.f. arctan(sin(x)*exp(x)).

Terms

a(0) =0a(1) =1a(2) =2a(3) =0a(4) =-24a(5) =-140a(6) =-8a(7) =8960a(8) =92736a(9) =12240a(10) =-14154208a(11) =-210017280a(12) =-50776704a(13) =58549241920a(15) =435228385280