E.g.f.: -log(1+x)*LambertW(-x).

Terms

a(0) =0a(1) =0a(2) =2a(3) =3a(4) =32a(5) =240a(6) =3114a(7) =44065a(8) =777720a(9) =15582168a(10) =357427770a(11) =9151281293a(12) =259607392164