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Consider 3 X 3 X 3 Rubik cube, but only allow the <U, R> group to act; sequence gives number of positions that are exactly n moves from the start.
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%I #4 Mar 30 2012 16:49:39

%S 1,4,10,24,58,140,338,816,1970,4756,11448,27448,65260,154192,360692,

%T 827540,1851345,3968840,7891990,13659821,18471682,16586822,8039455,

%U 1511110,47351,87

%N Consider 3 X 3 X 3 Rubik cube, but only allow the <U, R> group to act; sequence gives number of positions that are exactly n moves from the start.

%C Not every position can be reached using this restricted set of moves. Number of positions that can be reached = 73483200.

%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 0,2

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