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.

84, 1524, 15436, 81980, 318740, 1024312

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

Table of n, a(n) for n=2..7.

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

Adjacent sequences: A359931 A359932 A359933 * A359935 A359936 A359937

Keyword

nonn,more

Author

Scott R. Shannon, Jan 21 2023

Status

approved