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

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

Offset: 1

Author

Zak Seidov, May 26 2005

Keywords

• nonn
• easy

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.

Crossrefs

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

Programs

Magma

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

Mathematica

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

PARI

vector(100,n,binomial(n^3,n))

Formula

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