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

2,1

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.

No formula for a(n) is known.

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

Links

Table of n, a(n) for n=2..20.

Crossrefs

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

Sequence in context: A163832 A362492 A139798 * A211063 A065762 A034009

Adjacent sequences: A359928 A359929 A359930 * A359932 A359933 A359934

Keyword

nonn,more

Author

Scott R. Shannon, Jan 19 2023

Status

approved