login
A367369
a(n) = A340556(2*n, n), the central terms of the second order Eulerian numbers.
0
1, 1, 22, 1452, 195800, 44765000, 15548960784, 7634832149392, 5036317938475648, 4297211671488276816, 4605775111899791292320, 6058134671618508819536768, 9595073255473201184093573376, 18012849924775292436074080925056, 39551575929026035832580350736305920
OFFSET
0,3
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: A376873 A348813 A160309 * A033526 A078399 A243478
KEYWORD
nonn
AUTHOR
Peter Luschny, Nov 16 2023
STATUS
approved