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

0,3

Links

Table of n, a(n) for n=0..18.

Formula

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

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]

Crossrefs

Cf. A361476, A379587.

Sequence in context: A330966 A026783 A244975 * A271558 A295168 A001240

Adjacent sequences: A379585 A379586 A379587 * A379589 A379590 A379591

Keyword

nonn

Author

Stefano Spezia, Dec 26 2024

Status

approved