A368573 a(n) = Sum_{k=0..n} k! * k^k.

1, 2, 10, 172, 6316, 381316, 33973636, 4184630356, 680641979476, 141267789027796, 36429267789027796, 11425158161234192596, 4282251538636575402196, 1890291840090813125264596, 970616058694975134467523796, 573593232413546537634467523796, 386530943604347679737893326531796

Offset

0,2

Links

Table of n, a(n) for n=0..16.

Formula

a(n) ~ n! * n^n. - Vaclav Kotesovec, Jan 13 2024

Prog

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

Crossrefs

Partial sums of A061711.

Cf. A058006, A112368, A112370.

Cf. A367011, A367012, A368561.

Sequence in context: A132341 A069994 A063573 * A356887 A086675 A319607

Adjacent sequences: A368570 A368571 A368572 * A368574 A368575 A368576

Keyword

nonn,easy

Author

Seiichi Manyama, Dec 31 2023

Status

approved