OFFSET
0,3
LINKS
Eric Weisstein's World of Mathematics, Lambert W-Function.
FORMULA
E.g.f.: exp( x + LambertW(x^2*exp(-x)) ).
a(n) = n! * Sum_{k=1..n} (-n+k+1)^(k-1) * binomial(k,n-k)/k! for n>0.
PROG
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x+lambertw(x^2*exp(-x)))))
CROSSREFS
KEYWORD
sign
AUTHOR
Seiichi Manyama, Aug 17 2023
STATUS
approved