A368270 - OEIS

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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

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Table of n, a(n) for n=0..18.

FORMULA

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

PROG

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

CROSSREFS

Cf. A031971, A120485, A349963.

Sequence in context: A104256 A289211 A307567 * A332238 A353548 A192887

Adjacent sequences: A368267 A368268 A368269 * A368271 A368272 A368273

KEYWORD

nonn,easy

AUTHOR

Seiichi Manyama, Dec 25 2023

STATUS

approved