A359931 Number of distinct circles that can be constructed from an n x n square grid of points using only a compass.

8, 38, 120, 277, 544, 969, 1616, 2494, 3724, 5331, 7408, 10038, 13284, 17181, 21968, 27653, 34320, 42110, 51148

Offset: 2

Author

Scott R. Shannon, Jan 19 2023

Keywords

• nonn
• more

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.

No formula for a(n) is known.

See A359932 and A359933 for images of the resulting vertices and regions.

Crossrefs

Cf. A359932 (vertices), A359933 (regions), A359934 (edges), A359935 (k-gons).