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

Terms

a(0) =0a(1) =1a(2) =2a(3) =1a(4) =-20a(5) =-151a(6) =-354a(7) =6217a(8) =100472a(9) =537777a(10) =-7631270a(11) =-223395919a(12) =-2120164188a(13) =22050300505