A119549 a(n) = binomial(Catalan(n), 4).

0, 0, 0, 5, 1001, 111930, 12082785, 1391641251, 173503885555, 23254794293445, 3314798008593435, 497553828530038280, 78006319950663676495, 12691316771806311085525, 2131666305090876552710790, 368088263008942026240893295, 65121326313457681825591383495, 11770882175598605230910269045515

Offset

0,4

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Formula

a(n) = binomial(binomial(2*n,n)/(n+1),4).

a(n) ~ 2^(8*n-3) / (3 * n^6 * Pi^2). - Amiram Eldar, Sep 23 2025

Maple

[seq (binomial(binomial(2*n, n)/(n+1), 4), n=0..24)];

Mathematica

Binomial[CatalanNumber[Range[0, 20]], 4] (* Harvey P. Dale, Nov 05 2011 *)

Crossrefs

Cf. A000108, A051790, A051789.

Sequence in context: A388262 A024072 A385943 * A247593 A195535 A004805

Adjacent sequences: A119546 A119547 A119548 * A119550 A119551 A119552

Keyword

easy,nonn

Author

Zerinvary Lajos, May 29 2006

Status

approved