OFFSET
0,3
LINKS
Eric Weisstein's World of Mathematics, Lambert W-Function.
FORMULA
E.g.f.: exp(x - LambertW(3*x^2/2 * exp(x))) = 2 * LambertW(3*x^2/2 * exp(x))/(3*x^2).
a(n) = n! * Sum_{k=0..floor(n/2)} (-3/2)^k * (k+1)^(n-k-1) / (k! * (n-2*k)!).
PROG
(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(x-lambertw(3*x^2/2*exp(x)))))
CROSSREFS
KEYWORD
sign
AUTHOR
Seiichi Manyama, Apr 20 2023
STATUS
approved