A380843 Antidiagonal sums of the array A380841.

1, 1, 2, 7, 35, 237, 2040, 21255, 259591, 3633549, 57320398, 1005959831, 19436938571, 409965565469, 9372278051700, 230832086585495, 6093185704307967, 171604903098322813, 5136091192685429770, 162792009969153667111, 5447239135976543715731, 191888373741260775025741

Offset

0,3

Links

Table of n, a(n) for n=0..21.

Mathematica

A380841[n_, k_]:=n!SeriesCoefficient[1/(1-x*Exp[x])^k, {x, 0, n}]; a[n_]:=Sum[A380841[n-k, k], {k, 0, n}]; Array[a, 22, 0]

Crossrefs

Cf. A380841.

Sequence in context: A003713 A058129 A101514 * A247240 A266356 A196857

Adjacent sequences: A380838 A380841 A380842 * A380844 A380845 A380846

Keyword

nonn,new

Author

Stefano Spezia, Feb 05 2025

Status

approved