A368573 - OEIS

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

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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.