OFFSET
0,3
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..26
FORMULA
E.g.f.: Sum_{k>=0} (-log(1 - k^k*x))^k.
a(n) ~ n! * n^(n^2). - Vaclav Kotesovec, Feb 03 2022
MATHEMATICA
a[0] = 1; a[n_] := Sum[(-1)^(n - k) * k! * k^(k*n) * StirlingS1[n, k], {k, 1, n}]; Array[a, 9, 0] (* Amiram Eldar, Feb 02 2022 *)
PROG
(PARI) a(n) = sum(k=0, n, (-1)^(n-k)*k!*k^(k*n)*stirling(n, k, 1));
(PARI) my(N=10, x='x+O('x^N)); Vec(serlaplace(sum(k=0, N, (-log(1-k^k*x))^k)))
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Feb 02 2022
STATUS
approved