

A079839


Number of positions that are exactly n moves from the starting position in the Billiards NineBall puzzle.


1



1, 6, 24, 91, 329, 1169, 3992, 13122, 41437, 124205, 343276, 811477, 1328627, 882408, 78441, 195
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OFFSET

0,2


COMMENTS

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.
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.


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KEYWORD

nonn,fini,full


AUTHOR



STATUS

approved



