A330389 Maximal order of an element in the n X n X n Rubik's cube group.

45, 1260, 765765, 281801520, 5354228880, 5354228880, 5354228880, 5354228880, 5354228880, 5354228880, 5354228880, 5354228880, 5354228880, 5354228880, 5354228880, 5354228880, 5354228880, 5354228880, 5354228880, 5354228880, 5354228880, 5354228880

Offset: 2

Author

Dmitry Kamenetsky, Dec 13 2019

Keywords

• nonn

Comments

For the standard Rubik's cube (n = 3) the longest period 1260 is obtained with the moves RU2D'BD'.

a(n) = a(6) for all n > 6.

Links

• Math StackExchange, Determine the highest order of an element of a Rubik's Cube group.
• Puzzling StackExchange, Worst way to solve Rubik's in one algorithm.

Crossrefs

Cf. A007458, A054434, A075152, A257401.