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

2,1

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

Table of n, a(n) for n=2..23.

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.

Sequence in context: A004350 A199518 A075515 * A346324 A243570 A145151

Adjacent sequences: A330386 A330387 A330388 * A330390 A330391 A330392

Keyword

nonn

Author

Dmitry Kamenetsky, Dec 13 2019

Status

approved