A390277 a(n) = Stirling2(2*n, n)*CatalanNumber(n).

1, 1, 14, 450, 23814, 1786050, 174722064, 21162261120, 3062722595790, 516224774160810, 99391757066345380, 21532283096160632796, 5185781717332807179120, 1374787393812962339574000, 397911174598887902471736000, 124868324585959940010763800000, 42233376162396700350281813341950

Offset

0,3

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..293

Formula

a(n) = A048993(2*n, n)*A000108(n).

a(n) = A007820(n)*A000108(n).

a(n) = A390727(n)/n!.

Maple

CatalanNumber := n -> binomial(2*n + 1, n)/(2*n + 1):
A390277 := n -> Stirling2(2*n, n)*CatalanNumber(n):
seq(A390277(n), n = 0..16);

Mathematica

T[n]:=StirlingS2[2*n, n]*CatalanNumber[n]; Table[T[n], {n, 0, 19}]//Flatten (* Vincenzo Librandi, Nov 22 2025 *)

Prog

(Magma) [StirlingSecond(2*n, n)*Catalan(n): n in [0..20]]; // Vincenzo Librandi, Nov 22 2025

Crossrefs

Cf. A390727, A390276, A390726, A048993, A007820, A000108.

Sequence in context: A103916 A386271 A201546 * A305115 A282245 A319096

Adjacent sequences: A390274 A390275 A390276 * A390278 A390279 A390280

Keyword

nonn

Author

Peter Luschny, Nov 16 2025

Status

approved