a(n) = n! * [x^n] exp(-n*x)/(1 + LambertW(-x)).

A290158

a(n) = n! * [x^n] exp(-n*x)/(1 + LambertW(-x)).

Terms

    a(0) =1a(1) =0a(2) =4a(3) =-9a(4) =208a(5) =-1525a(6) =33516a(7) =-463099a(8) =11293248a(9) =-231839577a(10) =6517863100a(11) =-175791146311

External references