OFFSET
0,4
LINKS
Eric Weisstein's World of Mathematics, Lambert W-Function.
FORMULA
E.g.f.: exp(x - LambertW(x^2/2 * exp(x))) = 2 * LambertW(x^2/2 * exp(x))/x^2.
a(n) = n! * Sum_{k=0..floor(n/2)} (-1/2)^k * (k+1)^(n-k-1) / (k! * (n-2*k)!).
PROG
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x-lambertw(x^2/2*exp(x)))))
CROSSREFS
KEYWORD
sign
AUTHOR
Seiichi Manyama, Apr 20 2023
STATUS
approved