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A005452 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, 1, 5, 25, 219, 1978, 18395, 171529, 1601725, 14956266, 139629194, 1303138445, 12157779067, 113382522382, 1056867697737, 9843661720634, 91532722388023, 846837132071729, 7668156860181597 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
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 2 moves.
The total number of inequivalent positions is 901083404981813616. - Jerry Bryan, Mar 03 2003
REFERENCES
Robert G. Bryan (Jerry Bryan), postings to Cube Lovers List, Feb 04, 1995 and Oct 26, 1998.
LINKS
Tomas Rokicki, Symmetrical Positions
CROSSREFS
This is A080602 reduced by action of group of order 48. Cf. A080583, A080601, A080638.
Sequence in context: A245166 A144575 A327619 * A061839 A143600 A209529
KEYWORD
nonn,fini
AUTHOR
N. J. A. Sloane, Feb 25 2003
EXTENSIONS
Added a(13)-a(18). This is based on a great deal of work by a large number of people; full links and credit are on cube20.org/qtm. The numbers were calculated by combining the God's number counts on the main page with the symmetric solution counts on the symmetry page. - Tomas Rokicki, Sep 01 2014
STATUS
approved

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Last modified March 28 17:42 EDT 2024. Contains 371254 sequences. (Running on oeis4.)