A079839 - OEIS

A079839

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

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.

LINKS

Table of n, a(n) for n=0..15.

Jaap Scherphuis, Puzzle Pages

CROSSREFS

Sequence in context: A179716 A326755 A365978 * A270955 A281074 A255296

Adjacent sequences: A079836 A079837 A079838 * A079840 A079841 A079842

KEYWORD

nonn,fini,full

AUTHOR

N. J. A. Sloane, Feb 20 2003

STATUS

approved