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A079839
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Number of positions that are exactly n moves from the starting position in the Billiards Nine-Ball puzzle.
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1
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1, 6, 24, 91, 329, 1169, 3992, 13122, 41437, 124205, 343276, 811477, 1328627, 882408, 78441, 195
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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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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LINKS
| Jaap Scherphuis, Puzzle Pages
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CROSSREFS
| Sequence in context: A001352 A155602 A179716 * A169759 A164908 A002023
Adjacent sequences: A079836 A079837 A079838 * A079840 A079841 A079842
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KEYWORD
| nonn,fini,full
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Feb 20 2003
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