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A005452
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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.
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3
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1, 1, 5, 25, 219, 1978, 18395, 171529, 1601725, 14956266, 139629194, 1303138445, 12157779067
(list;
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OFFSET
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0,3
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COMMENTS
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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.
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REFERENCES
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Robert G. Bryan (Jerry Bryan), postings to Cube Lovers List, Feb 04, 1995 and Oct 26, 1998.
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LINKS
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Table of n, a(n) for n=0..12.
Alan Bawden, Cube Lovers Archive, Part 15
Alan Bawden, Cube Lovers Archive, Part 16
Alan Bawden, Cube Lovers Archive, Part 26
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CROSSREFS
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This is A080602 reduced by action of group of order 48. Cf. A080583, A080601, A080638.
Sequence in context: A080631 A080632 A144575 * A143600 A209529 A184958
Adjacent sequences: A005449 A005450 A005451 * A005453 A005454 A005455
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KEYWORD
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nonn,fini
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AUTHOR
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N. J. A. Sloane, Feb 25 2003
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STATUS
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approved
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