OFFSET
0,2
MAPLE
S := (n, k) -> local j; n^k*add(eulerian1(n, j)*binomial(n-j, n-k), j = 0..n):
seq(add(S(n, k), k = 0..n), n = 0..15);
CROSSREFS
KEYWORD
nonn
AUTHOR
Peter Luschny, Apr 26 2024
STATUS
approved