%I #5 Dec 11 2013 07:15:40
%S 1,1,2,5,7,12,16,24,29,43,50,69,79,88,85,85,72,63,43,28,14,9,4,2,1
%N Number of positions that are exactly n moves from the starting position in the Luminations Level 4 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 833. Here positions differing by rotations are considered the same.
%H Jaap Scherphuis, <a href="http://www.jaapsch.net/puzzles/">Puzzle Pages</a>
%Y Cf. A080546-A080558.
%K nonn,fini,full
%O 0,3
%A _N. J. A. Sloane_, Feb 21 2003