A294045 a(n) = n! * [x^n] exp((1+x)^n - 1).

1, 1, 6, 87, 2248, 88245, 4834296, 349799527, 32139501696, 3640751250057, 496985319186400, 80270368530689271, 15112076463651285504, 3275115726792062534173, 808478403184433649483648, 225271606246507403888070375, 70294100400932212703515672576

Offset

0,3

Links

Seiichi Manyama, Table of n, a(n) for n = 0..258

Mathematica

Table[n!*SeriesCoefficient[E^((1+x)^n - 1), {x, 0, n}], {n, 0, 20}] (* Vaclav Kotesovec, Aug 30 2025 *)

Crossrefs

Main diagonal of A294042.

Cf. A294043.

Sequence in context: A239750 A245984 A245982 * A171207 A173224 A210012

Adjacent sequences: A294042 A294043 A294044 * A294046 A294047 A294048

Keyword

nonn

Author

Seiichi Manyama, Oct 22 2017

Status

approved