A295228 a(n) = sum_{k=0,...,[n/2]} |s(n-k,k)|^3, s = A048994, Stirling numbers of the first kind.

1, 0, 1, 1, 9, 243, 15156, 1853216, 393861700, 133524487369, 67784261131182, 49102947079265422, 48868239988727255585, 64803779202807835851565, 111657015638972745549794074, 244745390650212498564219429909, 670332605628298040569504378787338

Offset

0,5

Links

Table of n, a(n) for n=0..16.

Edyta Hetmaniok, Barbara Smoleń, Roman Wituła, The Stirling triangles, Proceedings of the Symposium for Young Scientists in Technology, Engineering and Mathematics (SYSTEM 2017), Kaunas, Lithuania, April 28, 2017, p. 35-41.

Mathematica

Abs[Table[Sum[StirlingS1[n-k, k]^3, {k, 0, Floor[n/2]}], {n, 0, 20}]] (* Harvey P. Dale, Apr 03 2021 *)

Crossrefs

Sequence in context: A285511 A013733 A369533 * A217628 A167005 A112028

Adjacent sequences: A295225 A295226 A295227 * A295229 A295230 A295231

Keyword

nonn

Author

Eric M. Schmidt, Nov 18 2017

Status

approved