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

Terms

a(0) =1a(1) =0a(2) =-2a(3) =-3a(4) =28a(5) =150a(6) =-714a(7) =-10920a(8) =13392a(9) =1129464a(10) =3694680a(11) =-150143400a(12) =-1515256104a(13) =22631946480a(14) =525582087408