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URL: https://oeis.org/A359932

⇱ A359932 - OEIS

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A359932
Number of vertices among all distinct circles that can be constructed from an n x n square grid of points using only a compass.
8
40, 689, 7240, 38729, 151584, 488741
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.
LINKS
Scott R. Shannon, Image for n = 2.
Scott R. Shannon, Image for n = 3.
Scott R. Shannon, Image for n = 4.
FORMULA
a(n) = A359934(n) - A359933(n) + 1 by Euler's formula.
CROSSREFS
Cf. A359933 (regions), A359934 (edges), A359935 (k-gons), A359931 (distinct circles), A359859, A359252.
Sequence in context: A229696 A247410 A183464 * A189286 A160445 A010840
KEYWORD
nonn,more
AUTHOR
Scott R. Shannon, Jan 19 2023
STATUS
approved