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A358889
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Table read by rows: T(n,k) = number of k-gons, k >= 3, formed inside a square with edge length 1 by the straight line segments mutually connecting all vertices and points that divide the sides into segments with lengths equal to the Farey series of order n = A006842(n,m)/A006843(n,m), m = 1..A005728(n).
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23
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4, 48, 8, 712, 304, 24, 3368, 2400, 280, 16, 27424, 20360, 4784, 504, 32, 56000, 47088, 10912, 1400, 88, 8, 292424, 255608, 69368, 11504, 960, 56, 658800, 590208, 175856, 30160, 2496, 200, 24, 1748112, 1593912, 506496, 93584, 9616, 520, 24, 2981448, 2778456, 890368, 166912, 17192, 1144, 48
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OFFSET
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1,1
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COMMENTS
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The number of points along each edge is given by A005728(n).
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LINKS
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FORMULA
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EXAMPLE
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The table begins:
4;
48, 8;
712, 304, 24;
3368, 2400, 280, 16;
27424, 20360, 4784, 504, 32;
56000, 47088, 10912, 1400, 88, 8;
292424, 255608, 69368, 11504, 960, 56;
658800, 590208, 175856, 30160, 2496, 200, 24;
1748112, 1593912, 506496, 93584, 9616, 520, 24;
2981448, 2778456, 890368, 166912, 17192, 1144, 48;
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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