A367369 a(n) = A340556(2*n, n), the central terms of the second order Eulerian numbers.

1, 1, 22, 1452, 195800, 44765000, 15548960784, 7634832149392, 5036317938475648, 4297211671488276816, 4605775111899791292320, 6058134671618508819536768, 9595073255473201184093573376, 18012849924775292436074080925056, 39551575929026035832580350736305920

Offset

0,3

Links

Table of n, a(n) for n=0..14.

Maple

A340556 := (n, k) -> `if`(k=0, k^n, combinat:-eulerian2(n, k-1)):
seq(A340556(2*n, n), n = 0..14);

Crossrefs

Indexing the second-order Eulerian numbers comes in three flavors: A008517 (following Riordan and Comtet), A201637 (following Graham, Knuth, and Patashnik) and indexing like in A340556 using the definition of Gessel and Stanley.

Sequence in context: A055475 A348813 A160309 * A033526 A078399 A243478

Adjacent sequences: A367366 A367367 A367368 * A367370 A367371 A367372

Keyword

nonn

Author

Peter Luschny, Nov 16 2023

Status

approved