OFFSET
0,3
LINKS
Winston de Greef, Table of n, a(n) for n = 0..235
FORMULA
E.g.f.: Sum_{k>=0} exp(k^3 * x) * x^k/k!.
a(n) = Sum_{k=0..n} k^(3*(n-k)) * binomial(n,k).
PROG
(PARI) my(N=20, x='x+O('x^N)); Vec(sum(k=0, N, x^k/(1-k^3*x)^(k+1)))
(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(1+sum(k=1, N, exp(k^3*x)*x^k/k!)))
(PARI) a(n) = sum(k=0, n, k^(3*(n-k))*binomial(n, k));
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Jul 03 2022
STATUS
approved