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

Author

Seiichi Manyama, Dec 25 2023

Keywords

• nonn
• easy

Crossrefs

Cf. A031971, A120485, A349963.

Programs

PARI

a(n) = sum(k=0, n, 2^(n-k)*k^n);

Formula

a(n) ~ A309419 * n^n. - Vaclav Kotesovec, Dec 26 2023