A107444 a(n) = C(n^3, n).

1, 28, 2925, 635376, 234531275, 131513824548, 104200375748469, 110859231254749120, 152494520486567153895, 263409560461970212832400, 558225230412816157198777770, 1424174931670379304734465767920, 4305884331150027666756637066361970, 15224493238177464079881126301239927128

Offset

1,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..65

Harlan J. Brothers, Pascal's triangle, Sidi polynomials, and powers of e, Missouri J. Math. Sci. (2025) Vol. 37, No. 1, 67-78.

Formula

a(n) ~ exp(n) * n^(2*n - 1/2) / sqrt(2*Pi). - Vaclav Kotesovec, Jan 10 2023

Mathematica

Table[Binomial[n^3, n], {n, 12}]

Prog

(Magma) [Binomial(n^3, n): n in [1..30]]; // Vincenzo Librandi, Apr 22 2011
(PARI) vector(100, n, binomial(n^3, n))

Crossrefs

Cf. A014062 (C(n^2, n)), A359665.

Sequence in context: A390727 A283519 A284770 * A277657 A285151 A232520

Adjacent sequences: A107441 A107442 A107443 * A107445 A107446 A107447

Keyword

nonn,easy

Author

Zak Seidov, May 26 2005

Status

approved