OFFSET
0,3
LINKS
Winston de Greef, Table of n, a(n) for n = 0..385
Eric Weisstein's World of Mathematics, Lambert W-Function.
FORMULA
E.g.f.: -exp(x + LambertW(-x)).
E.g.f.: x * exp(x) / LambertW(-x).
a(n) ~ exp(exp(-1)-1) * n^(n-1). - Vaclav Kotesovec, Mar 06 2023
PROG
(PARI) a(n) = sum(k=0, n, (k-1)^(k-1)*binomial(n, k));
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(-exp(x+lambertw(-x))))
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(x*exp(x)/lambertw(-x)))
CROSSREFS
KEYWORD
sign,easy
AUTHOR
Seiichi Manyama, Mar 05 2023
STATUS
approved