OFFSET
0,3
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..390
FORMULA
a(n) = Sum_{k=0..n} (-1)^(n-k) * (2*n-k+1)^(k-1) * Stirling2(n,k).
MATHEMATICA
a[n_] := Sum[(-1)^(n - k)*(2*n - k + 1)^(k - 1)*StirlingS2[n, k], {k, 0, n}]; Array[a, 20, 0] (* Amiram Eldar, Nov 23 2021 *)
PROG
(PARI) a(n) = sum(k=0, n, (-1)^(n-k)*(2*n-k+1)^(k-1)*stirling(n, k, 2));
CROSSREFS
KEYWORD
sign
AUTHOR
Seiichi Manyama, Nov 22 2021
STATUS
approved