A379588 Antidiagonal sums of the array A379587.

0, 1, 11, 84, 642, 5633, 59021, 736944, 10839316, 185361065, 3637063343, 80939054884, 2023405966486, 56362728831929, 1736960568923505, 58853395571312176, 2180579093801111176, 87921539854223957169, 3841160785119756991059

Offset: 0

Author

Stefano Spezia, Dec 26 2024

Keywords

• nonn

Crossrefs

Cf. A361476, A379587.

Programs

Mathematica

A379587[n_,k_]:=(k^n-1)^2/(k-1); a[n_]:=Sum[A379587[n-k+2,k],{k,2,n+2}]; Array[a,15,0]

Formula

a(n) = Sum_{k=2..n+2} (k^(n-k+2) - 1)^2/(k - 1).