A107446 a(n) = binomial(n^4, n).

1, 1, 120, 85320, 174792640, 782083984500, 6505247592703944, 90471680541391718800, 1951589337580920650595840, 61742372998425082372103866380, 2743355077591282538231819720749000, 165382891003629711761140477728569323368, 13151651360462180865959048190677701749268800

Offset: 0

Author

Zak Seidov, May 26 2005

Keywords

• nonn

Links

• Andrew Howroyd, Table of n, a(n) for n = 0..100

Crossrefs

Cf. A014062 (binomial(n^2, n)).

Programs

Mathematica

Table[Binomial[n^4, n], {n, 10}]

PARI

a(n) = {binomial(n^4, n)} \\ Andrew Howroyd, Feb 03 2020

Formula

a(n) ~ e^n*n^(3n - 1/2)/sqrt(2*Pi). - Harlan J. Brothers, Aug 05 2023

Extensions

a(0)=1 prepended and terms a(11) and beyond from Andrew Howroyd, Feb 03 2020