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

Author

Seiichi Manyama, Oct 22 2017

Keywords

• nonn
• changed

Links

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

Crossrefs

Main diagonal of A294042.

Cf. A294043.

Programs

Mathematica

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