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

1, 720, 3246670537110000, 101097362223624462291180422369532000000, 11820969246826954556547676599863670334721199951925900837836206749590000

Offset

0,2

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

Table of n, a(n) for n=0..4.

Wikipedia, Rubik's Cube.

Formula

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

Mathematica

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

Prog

(Magma) [Factorial(6*n^2)/Factorial(n^2)^6: n in [0..4]];
(PARI) a(n)=(6*n^2)!/(n^2)!^6;

Crossrefs

Cf. A201555.

Sequence in context: A072238 A271946 A172727 * A282021 A186561 A119451

Adjacent sequences: A283045 A283046 A283047 * A283049 A283050 A283051

Keyword

nonn,easy

Author

Arkadiusz Wesolowski, Feb 27 2017

Status

approved