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A359931
Number of distinct circles that can be constructed from an n x n square grid of points using only a compass.
10
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.
CROSSREFS
Cf. A359932 (vertices), A359933 (regions), A359934 (edges), A359935 (k-gons).
Sequence in context: A163832 A362492 A139798 * A211063 A065762 A034009
KEYWORD
nonn,more
AUTHOR
Scott R. Shannon, Jan 19 2023
STATUS
approved