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A080625 Consider 3 X 3 X 3 Rubik cube, but only allow the anti-slice group to act; sequence gives number of positions that are exactly n moves from the start, up to equivalence under the full group of order 48 of the cube. 0

%I #4 Mar 30 2012 16:49:39

%S 1,1,3,10,37,93,166,147,89,21

%N Consider 3 X 3 X 3 Rubik cube, but only allow the anti-slice group to act; sequence gives number of positions that are exactly n moves from the start, up to equivalence under the full group of order 48 of the cube.

%C Not every position can be reached using this restricted set of moves. Number of inequivalent positions that can be reached = 568. This is for 2q moves.

%D Jerry Bryan, posting to Cube Lovers List, May 19 1995 and May 21 1995.

%H Alan Bawden, <a href="ftp://ftp.ai.mit.edu/pub/cube-lovers/cube-mail-15.gz">Cube Lovers Archive, Part 15</a>

%H Alan Bawden, <a href="ftp://ftp.ai.mit.edu/pub/cube-lovers/cube-mail-16.gz">Cube Lovers Archive, Part 16</a>

%H Mark Longridge, <a href="http://cubeman.org/fullcube.txt">God's Algorithm Calculations for Rubik's Cube...</a>

%Y Cf. A080601, A080614, etc.

%K nonn,fini,full

%O 0,3

%A _N. J. A. Sloane_, Feb 26 2003

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