A359665 -id:A359665 - cp's OEIS frontend

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

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

Offset: 1

Zak Seidov, May 26 2005

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.

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

[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))
```

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

A295773 a(n) = Sum_{k=0..n} binomial(k^2, k).

Original entry on oeis.org

1, 2, 8, 92, 1912, 55042, 2002834, 87903418, 4514068786, 265401903136, 17575711359576, 1294325676386112, 104913619501093500, 9281271920245432932, 889811788303594625412, 91895379599481072720852, 10170646981621794947354052, 1200909691326112843842751962

Offset: 0

Vaclav Kotesovec, Nov 27 2017

nonn

Seiichi Manyama, Table of n, a(n) for n = 0..338

Cf. A014062, A226391, A295772, A359665.

[&+[Binomial(k^2, k): k in [0..n]]: n in [0..20]]; // Vincenzo Librandi, Jan 10 2019

Table[Sum[Binomial[k^2, k], {k, 0, n}], {n, 0, 20}]

a(n) = sum(k=0, n, binomial(k^2, k)); \\ Michel Marcus, Jan 10 2019

a(n) ~ exp(n - 1/2) * n^(n - 1/2) / sqrt(2*Pi).

cp's OEIS Frontend

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

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