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A359254
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Number of edges among all distinct circles that can be constructed from n equally spaced points along a line using only a compass.
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6
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4, 26, 96, 216, 480, 882, 1564, 2464, 3804, 5502, 7912, 10864, 14816, 19526, 25508, 32392, 40992, 50818, 62852, 76432, 92460, 110590, 131904, 155306, 182316, 212188, 246316, 283586, 326100
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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).
See A359252 and A359253 for images of the circles.
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LINKS
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Table of n, a(n) for n=2..30.
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FORMULA
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a(n) = A359252(n) + A359253(n) - 1 by Euler's formula.
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CROSSREFS
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Cf. A359252 (vertices), A359253 (regions), A359258 (k-gons), A001859, A290866, A359047, A358783.
Sequence in context: A299670 A299748 A300262 * A222663 A267675 A140804
Adjacent sequences: A359250 A359252 A359253 * A359255 A359256 A359257
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KEYWORD
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nonn,more
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AUTHOR
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Scott R. Shannon, Dec 22 2022
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STATUS
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approved
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