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A345648
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Number of polygons formed outside an n X n square when connecting all 4n points on the perimeter of the square by infinite lines.
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3
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0, 0, 24, 228, 904, 2788, 5880, 13008, 22120, 37976, 58584, 95472, 125016, 195816, 255064, 337916, 444760, 611760, 719800, 978388, 1127088, 1411756, 1736776, 2174584, 2389552, 2995336, 3504768
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OFFSET
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0,3
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COMMENTS
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For n = 0 to n = 11 the number of polygons formed outside the n x n square is less than the number formed inside the square. This changes for n >= 12 when the number formed outside becomes greater. The ratio of the number of polygons outside to the number inside for n = 26 is about 1.07 . If this ratio is unbounded or approaches some finite value as n -> infinity is not known.
See A345459 for images of the polygons.
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LINKS
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FORMULA
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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STATUS
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approved
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