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Search: id:A079839
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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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+0
2
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| 1, 6, 24, 91, 329, 1169, 3992, 13122, 41437, 124205, 343276, 811477, 1328627, 882408, 78441, 195
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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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
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Jaap Scherphuis, Puzzle Pages
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CROSSREFS
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Sequence in context: A006780 A001352 A155602 this_sequence A002023 A164908 A037505
Adjacent sequences: A079836 A079837 A079838 this_sequence A079840 A079841 A079842
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KEYWORD
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nonn,fini,full
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Feb 20 2003
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