A294043 a(n) = n! * [x^n] exp((1+x)^(n+1) - 1).

1, 2, 15, 232, 6145, 244296, 13474699, 978650240, 90103113153, 10217823306400, 1395459930700231, 225409459306111488, 42430679373064255585, 9192944371302603777152, 2268432208238438936707875, 631780778416973851617427456, 197044925922469402512476724481

Offset: 0

Author

Seiichi Manyama, Oct 22 2017

Keywords

• nonn
• changed

Crossrefs

Cf. A294003, A294045.

A diagonal of A294042.

Programs

Mathematica

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