%I #6 Dec 11 2013 07:16:22
%S 1,1,3,5,10,12,18,12,10,5,3,1,1
%N Number of positions that are exactly n moves from the starting position in the Orbix Type 1 puzzle.
%C 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.
%C A puzzle in the Rubik cube family. The total number of distinct positions is 82. Here positions differing by rotations or reflections are considered the same.
%H Jaap Scherphuis, <a href="http://www.jaapsch.net/puzzles/">Puzzle Pages</a>
%Y Cf. A010928, A080560-A080564.
%K nonn,fini,full
%O 0,3
%A _N. J. A. Sloane_, Feb 21 2003