E.g.f.: x / LambertW( x/(1-x) ).

Terms

a(0) =1a(1) =0a(2) =-1a(3) =1a(4) =-7a(5) =31a(6) =-281a(7) =2381a(8) =-28015a(9) =346879a(10) =-5149009a(11) =82769149a(12) =-1499707991a(13) =29444151023a(14) =-632715633577