E.g.f.: exp(x)/(1+LambertW(x)).

Terms

a(0) =1a(1) =0a(2) =3a(3) =-17a(4) =169a(5) =-2079a(6) =31261a(7) =-554483a(8) =11336753a(9) =-262517615a(10) =6791005621a(11) =-194103134499