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A361623
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Irregular table read by rows: T(n,k) is the number of k-gons, k>=2, among all distinct circles that can be constructed from a point on the origin and n equally spaced points on each of the +x,-x,+y,-y coordinates axes using only a compass.
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8
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0, 40, 60, 12, 0, 484, 583, 160, 28, 8, 0, 2196, 2416, 804, 104, 28, 0, 5676, 6616, 2184, 460, 40, 8, 13456, 16936, 5236, 1340, 104, 12, 4, 27512, 35032, 11796, 2400, 320, 28, 0, 4, 0, 50688, 65044, 22536, 4632, 584, 60, 12, 4, 8, 84300, 105860, 38024, 8124, 1080, 108
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OFFSET
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1,2
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COMMENTS
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A circle is constructed for every pair of the 1 + 4n points, the first point defines the circle's center while the second the radius distance. The number of distinct circles constructed from the points is A361622(n).
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LINKS
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FORMULA
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EXAMPLE
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The table begins:
0, 40, 60, 12;
0, 484, 583, 160, 28, 8;
0, 2196, 2416, 804, 104, 28;
0, 5676, 6616, 2184, 460, 40;
8, 13456, 16936, 5236, 1340, 104, 12;
4, 27512, 35032, 11796, 2400, 320, 28, 0, 4;
0, 50688, 65044, 22536, 4632, 584, 60, 12, 4;
8, 84300, 105860, 38024, 8124, 1080, 108;
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CROSSREFS
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KEYWORD
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nonn,tabf
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AUTHOR
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STATUS
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approved
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