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A330389 Maximal order of an element in the n X n X n Rubik's cube group. 1
45, 1260, 765765, 281801520, 5354228880, 5354228880, 5354228880, 5354228880, 5354228880, 5354228880, 5354228880, 5354228880, 5354228880, 5354228880, 5354228880, 5354228880, 5354228880, 5354228880, 5354228880, 5354228880, 5354228880, 5354228880 (list; graph; refs; listen; history; text; internal format)
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

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Last modified December 7 13:08 EST 2021. Contains 349581 sequences. (Running on oeis4.)