E.g.f.: 1 - (1-x)^(1/(1 + log(1-x))).

Terms

a(0) =1a(1) =2a(2) =6a(3) =22a(4) =80a(5) =98a(6) =-4214a(7) =-99780a(8) =-1845204a(9) =-32904168a(10) =-595817376a(11) =-11140397424a(12) =-216067092696