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%I #5 Dec 11 2013 06:59:23
%S 1,6,30,147,708,3408,16177,75384,334836,1400827,5019071,12427541,
%T 14323585,6051014,263992,73
%N Number of positions that are exactly n moves from the starting position in the Hockey Puck 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 10! = 3628800. Here we use moves of all types a-f.
%H Jaap Scherphuis, <a href="http://www.jaapsch.net/puzzles/">Puzzle Pages</a>
%Y Cf. A079735-A079737.
%K nonn,fini,full
%O 0,2
%A _N. J. A. Sloane_, Feb 20 2003