OFFSET
0,3
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..331
Eric Weisstein's World of Mathematics, Lambert W-Function.
FORMULA
E.g.f.: exp( -LambertW(-3*x * (1+x/2))/3 ).
a(n) = n! * Sum_{k=0..n} (1/2)^(n-k) * (3*k+1)^(k-1) * binomial(k,n-k)/k!.
PROG
(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(-lambertw(-3*x*(1+x/2))/3)))
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Aug 19 2023
STATUS
approved