A369754 a(n) = n! * [x^n] exp(1 - (1+x)^n).

1, -1, 2, 21, -104, -8245, -124344, 7728581, 757142912, 21142327671, -3194024271200, -589138966169611, -38768504982354432, 4948651031184677219, 2022468386748039472256, 303711906641250589741125, -7986432746850744238505984, -19535207301291993249120303121

Offset

0,3

Links

Table of n, a(n) for n=0..17.

Formula

a(n) = Sum_{k=0..n} n^k * Stirling1(n,k) * A000587(k).

Crossrefs

Main diagonal of A369738.

Cf. A000587, A294045.

Sequence in context: A213827 A129556 A077209 * A068045 A188530 A178328

Adjacent sequences: A369751 A369752 A369753 * A369755 A369756 A369757

Keyword

sign

Author

Seiichi Manyama, Jan 31 2024

Status

approved