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A359253
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Number of regions among all distinct circles that can be constructed from n equally spaced points along a line using only a compass.
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9
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3, 14, 51, 116, 255, 466, 821, 1296, 2003, 2904, 4171, 5726, 7795, 10266, 13399, 17026, 21537, 26702, 32995, 40110, 48511, 57996, 69121, 81376, 95511, 111130, 128953, 148432, 170595
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OFFSET
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2,1
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COMMENTS
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A circle is constructed for every pair of the n points, the first point defines the circle's center while the second the radius distance. The number of distinct circles constructed for n points is A001859(n-1).
No formula for a(n) is currently known.
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LINKS
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Scott R. Shannon, Image for n = 2. In this and other images the n points are shown as white dots.
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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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