Expansion of e.g.f. exp(x^2/(1+x)).

Terms

a(0) =1a(1) =0a(2) =2a(3) =-6a(4) =36a(5) =-240a(6) =1920a(7) =-17640a(8) =183120a(9) =-2116800a(10) =26943840a(11) =-374220000a(12) =5628934080a(13) =-91122071040