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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 Alan Bawden, Cube Lovers Archive, Part 15 Alan Bawden, Cube Lovers Archive, Part 16 Alan Bawden, Cube Lovers Archive, Part 26 Tomas Rokicki, God's Number in the Quarter-Turn Metric 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 Adjacent sequences: A005449 A005450 A005451 * A005453 A005454 A005455 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 December 5 18:51 EST 2022. Contains 358588 sequences. (Running on oeis4.)