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Number of positions that are exactly n moves from the starting position in the Rubik's UFO puzzle.
1

%I #5 Dec 11 2013 07:03:13

%S 1,8,36,189,870,4182,19502,89508,390114,1623294,6100151,16424349,

%T 14501714,762762,120

%N Number of positions that are exactly n moves from the starting position in the Rubik's UFO 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 39916800. Here we consider a move to be any twist and any disk turn.

%H Jaap Scherphuis, <a href="http://www.jaapsch.net/puzzles/">Puzzle Pages</a>

%Y Cf. A079820.

%K nonn,fini,full

%O 0,2

%A _N. J. A. Sloane_, Feb 20 2003