A024418 a(n) = t mod s(n,n-1), where t = max{s(n,k): k=1,2,...,n}, s(n,k) = Stirling numbers of the second kind.

0, 0, 1, 5, 0, 14, 21, 30, 0, 0, 0, 0, 0, 63, 84, 34, 102, 0, 19, 24, 198, 0, 0, 0, 130, 273, 193, 319, 0, 31, 186, 300, 289, 0, 420, 407, 0, 627, 640, 0, 0, 645, 0, 510, 0, 0, 705, 168, 1190, 255, 663, 901, 477, 495, 385, 1197, 0, 0, 1180, 0, 0, 0

Offset

2,4

Links

Robert Israel, Table of n, a(n) for n = 2..1000

Formula

a(n) = A002870(n) mod (n*(n-1)/2). - Robert Israel, Oct 12 2025

Maple

f:= proc(n) local k; max(seq(Stirling2(n, k), k=1..n)) mod (n*(n-1)/2) end proc:
map(f, [$2..100]); # Robert Israel, Oct 12 2025

Crossrefs

Cf. A002870, A008277 (Stirling numbers of the second kind).

Sequence in context: A052401 A222946 A214121 * A167297 A290867 A027635

Adjacent sequences: A024415 A024416 A024417 * A024419 A024420 A024421

Keyword

nonn

Author

Clark Kimberling

Extensions

More terms from Sean A. Irvine, Jul 10 2019

Offset corrected by Robert Israel, Oct 12 2025

Status

approved