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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
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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