%I #5 Dec 11 2013 07:07:23
%S 3,9,27,81,225,507,912,1236,1587,1782,1977,2046,2070,1947,1680,1275,
%T 951,600,402,201,114,36,15
%N Number of positions that are exactly n moves from the starting position in the Luminations Level 5 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 19683. Here positions differing by rotations or reflections are considered distinct.
%H Jaap Scherphuis, <a href="http://www.jaapsch.net/puzzles/">Puzzle Pages</a>
%Y Cf. A080546-A080558.
%K nonn,fini,full
%O 0,1
%A _N. J. A. Sloane_, Feb 21 2003