A283048 a(n) = (6*n^2)!/((n^2)!^6).

1, 720, 3246670537110000, 101097362223624462291180422369532000000, 11820969246826954556547676599863670334721199951925900837836206749590000

Offset: 0

Author

Arkadiusz Wesolowski, Feb 27 2017

Keywords

• nonn
• easy

Comments

For n >= 1, a(n) is the number of possible combinations of an n X n X n Rubik's cube with randomly placed stickers.

Links

• Wikipedia, Rubik's Cube.

Crossrefs

Cf. A201555.

Programs

Magma

[Factorial(6*n^2)/Factorial(n^2)^6: n in [0..4]];

Mathematica

Table[(6*n^2)!/(n^2)!^6, {n, 0, 4}]

PARI

a(n)=(6*n^2)!/(n^2)!^6;

Formula

a(n) = (6*n^2)!/((n^2)!^6).