A119553 a(n) = binomial(n^2 * binomial(2*n,n), n).

1, 2, 276, 955860, 65212649320, 82571843488838760, 1880695497510691320340728, 754603377505528950689544452061864, 5254517954094415196615118245270696186523600, 627961123258723506565355070968058907823788273607374860

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..39

Maple

[seq (binomial(binomial(2*n, n)*n^2, n), n=0..10)];

Mathematica

Table[Binomial[n^2*Binomial[2*n, n], n], {n, 0, 20}] (* G. C. Greubel, Nov 29 2025 *)

Prog

(Magma)
A119553:= func< n | Binomial(n^2*(n+1)*Catalan(n), n) >;
[A119553(n): n in [0..20]]; // G. C. Greubel, Nov 29 2025
(SageMath)
def A119553(n): return binomial(n**2*binomial(2*n, n), n)
print([A119553(n) for n in range(21)]) # G. C. Greubel, Nov 29 2025

Crossrefs

Cf. A002736.

Sequence in context: A174710 A200168 A215043 * A093938 A172374 A231041

Adjacent sequences: A119550 A119551 A119552 * A119554 A119555 A119556

Keyword

easy,nonn

Author

Zerinvary Lajos, May 30 2006

Status

approved