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

Terms

a(0) =1a(1) =0a(2) =2a(3) =-3a(4) =44a(5) =-210a(6) =2694a(7) =-23520a(8) =330672a(9) =-4168584a(10) =67622040a(11) =-1095648840a(12) =20621674776a(13) =-403514963280