A368270 a(n) = Sum_{k=0..n} 2^(n-k) * k^n.
1, 1, 6, 47, 490, 6417, 101178, 1866139, 39425322, 938856053, 24883226698, 726510389607, 23169961642698, 801435579830329, 29884247978965146, 1195036047465095027, 51016725208899539626, 2315820594694418639325, 111384453953719146198762
Offset: 0
Programs
-
PARI
a(n) = sum(k=0, n, 2^(n-k)*k^n);
Formula
a(n) ~ A309419 * n^n. - Vaclav Kotesovec, Dec 26 2023