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A359934 Number of edges among all distinct circles that can be constructed from an n x n square grid of points using only a compass. 7
84, 1524, 15436, 81980, 318740, 1024312 (list; graph; refs; listen; history; text; internal format)
OFFSET
2,1
COMMENTS
A circle is constructed for every pair of the n x n points, the first point defines the circle's center while the second the radius distance. The number of distinct circles constructed from the n x n points is A359931(n).
No formula for a(n) is known.
See A359932 and A359933 for images of the circles.
LINKS
FORMULA
a(n) = A359932(n) + A359933(n) - 1 by Euler's formula.
CROSSREFS
Cf. A359932 (vertices), A359933 (regions), A359935 (k-gons), A359931 (distinct circles), A359861, A359254.
Sequence in context: A105942 A219476 A008359 * A166847 A219938 A271670
KEYWORD
nonn,more
AUTHOR
Scott R. Shannon, Jan 21 2023
STATUS
approved

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Last modified July 14 20:49 EDT 2024. Contains 374323 sequences. (Running on oeis4.)