Expansion of e.g.f. log(1 + arctan(x))*exp(-x).

Terms

a(0) =0a(1) =1a(2) =-3a(3) =6a(4) =-8a(5) =13a(6) =-103a(7) =462a(8) =824a(9) =-8239a(10) =-147747a(11) =1233518a(12) =12148288a(13) =-127674419a(14) =-2090702391a(15) =24495009510a(16) =410685350032