OFFSET
0,6
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..414
Eric Weisstein's World of Mathematics, Lambert W-Function.
FORMULA
a(n) = n! * [x^n] exp(x - n*x^5).
E.g.f.: exp( ( LambertW(5*x^5)/5 )^(1/5) ) / (1 + LambertW(5*x^5)).
PROG
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp((lambertw(5*x^5)/5)^(1/5))/(1+lambertw(5*x^5))))
CROSSREFS
KEYWORD
sign
AUTHOR
Seiichi Manyama, Apr 16 2023
STATUS
approved