The OEIS is supported by the many generous donors to the OEIS Foundation.
%I #5 Dec 11 2013 07:04:22
%S 1,6,24,91,329,1169,3992,13122,41437,124205,343276,811477,1328627,
%T 882408,78441,195
%N Number of positions that are exactly n moves from the starting position in the Billiards Nine-Ball 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 3628800. A move is single shift of one of the three loops in any direction.
%H Jaap Scherphuis, <a href="http://www.jaapsch.net/puzzles/">Puzzle Pages</a>
%K nonn,fini,full
%O 0,2
%A _N. J. A. Sloane_, Feb 20 2003