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%I #5 Dec 11 2013 06:59:00
%S 1,3,6,12,23,44,80,142,247,411,662,1019,1481,2059,2745,3465,4126,4633,
%T 4913,4777,4163,3079,1612,488,94,25,6,3,1
%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 8! = 40320. Here we only use moves of types a-c.
%H Jaap Scherphuis, <a href="http://www.jaapsch.net/puzzles/">Puzzle Pages</a>
%Y Cf. A079736-A079738.
%K nonn,fini,full
%O 0,2
%A _N. J. A. Sloane_, Feb 20 2003
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