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Consider 3 X 3 X 3 Rubik cube, but consider only positions of edges; 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.
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%I #4 Mar 30 2012 16:49:39

%S 1,1,5,25,215,1860,16481,144334,1242992,10324847,76993295,371975385,

%T 382690120,8235392,54,1

%N Consider 3 X 3 X 3 Rubik cube, but consider only positions of edges; 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 Total number of inequivalent positions = 851625008. This count is "without centers".

%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