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Consider 3 X 3 X 3 Rubik cube, but only allow the squares 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 1,6,27,120,519,1932,6484,20310,55034,113892,178495,179196,89728,

%T 16176,1488,144

%N Consider 3 X 3 X 3 Rubik cube, but only allow the squares 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 = 663552.

%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