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A300131
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Largest number of points that can be placed on an n X n point grid so that no point is equally distant from two other points on the same straight line.
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2
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1, 4, 6, 9, 16, 17, 21, 26, 31, 34, 40, 46
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,2
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COMMENTS
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This definition is a 2-dimensional generalization of A003002 ("no 3-term arithmetic progressions"). It generalizes the definition of A296468 to include not only triples on horizontal or vertical lines but on any straight line.
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LINKS
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EXAMPLE
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On a 10 X 10 point grid 34 points (X) can be placed at most. Example:
. X . . . X X . . .
X X . . . X X . X .
X . X X . . . . X .
. . X . . . . X . X
. . . . . . . . X X
X X . . . . . . . .
X . X . . . . X . .
. X . . . . X X . X
. X . X X . . . X X
. . . X X . . . X .
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CROSSREFS
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KEYWORD
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nonn,hard,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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