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A080638 Number of positions that the 3 X 3 X 3 Rubik cube puzzle can be in after exactly n moves, up to equivalence under the full group of order 48 of the cube. 3
1, 2, 9, 75, 934, 12077, 159131, 2101575, 27762103, 366611212, 4838564147, 63818720716, 841134600018, 11076115427897 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

This is the number of positions that can be reached in n moves from the start, but which cannot be reached in fewer than n moves.

A half-turn is considered to be 1 move.

The total number of inequivalent positions is 901083404981813616. - Jerry Bryan, Mar 03, 2003.

REFERENCES

Robert G. Bryan (Jerry Bryan), posting to Cube Lovers List, Jul 10, 1998.

LINKS

Table of n, a(n) for n=0..13.

Alan Bawden, Cube Lovers Archive, Part 25

Rokicki, Tomas; God's Algorithm out to 13f* [From Tomas Rokicki, Jul 25 2009]

CROSSREFS

This is A080601 reduced by action of group of order 48. Cf. A005452, A080602.

Sequence in context: A288581 A197082 A243054 * A232471 A277181 A105785

Adjacent sequences:  A080635 A080636 A080637 * A080639 A080640 A080641

KEYWORD

nonn,fini

AUTHOR

N. J. A. Sloane, Feb 28 2003

EXTENSIONS

Added a(11)..a(13) Tomas Rokicki, Jul 25 2009

STATUS

approved

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Last modified July 25 12:40 EDT 2017. Contains 289795 sequences.