OFFSET
0,3
FORMULA
E.g.f.: Sum_{k>=1} (-log(1 - k*x))^k / k.
MATHEMATICA
nmax=15; Range[0, nmax]!CoefficientList[Series[Sum[(-Log[1 - k*x])^k / k, {k, nmax}], {x, 0, nmax}], x] (* Stefano Spezia, Jun 19 2024 *)
PROG
(PARI) a(n) = sum(k=1, n, k!*k^(n-1)*abs(stirling(n, k, 1)));
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Jun 19 2024
STATUS
approved