OFFSET
0,3
LINKS
Eric Weisstein's World of Mathematics, Lambert W-Function.
FORMULA
E.g.f.: -LambertW(-x)/(x * (1+x)).
a(n) = (-1)^n * n! * Sum_{k=0..n} (-(k+1))^k/(k+1)!.
a(0) = 1; a(n) = -n*a(n-1) + (n+1)^(n-1).
PROG
(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(-lambertw(-x))/(1+x)))
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Seiichi Manyama, May 01 2023
STATUS
approved