OFFSET
0,2
LINKS
Eric Weisstein's World of Mathematics, Lambert W-Function.
FORMULA
E.g.f.: B(x)^3, where B(x) is the e.g.f. of A052880.
E.g.f.: exp( - 3*LambertW(1 - exp(x)) ).
a(n) = 3 * Sum_{k=0..n} (k+3)^(k-1) * Stirling2(n,k).
PROG
(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(-3*lambertw(1-exp(x)))))
(PARI) a(n) = 3*sum(k=0, n, (k+3)^(k-1)*stirling(n, k, 2));
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Sep 01 2024
STATUS
approved