OFFSET
0,2
LINKS
Eric Weisstein's World of Mathematics, Lambert W-Function.
FORMULA
E.g.f.: (1/x) * LambertW(x / (1 - 3*x)).
a(n) = n! * Sum_{k=0..n} (-1)^k * 3^(n-k) * (k+1)^(k-1) * binomial(n,k)/k!.
a(n) = A376107(n+1)/(n+1).
PROG
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(lambertw(x/(1-3*x))/x))
(PARI) a(n) = n!*sum(k=0, n, (-1)^k*3^(n-k)*(k+1)^(k-1)*binomial(n, k)/k!);
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Dec 28 2024
STATUS
approved