A359932 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

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.

40, 689, 7240, 38729, 151584, 488741

(list; graph; refs; listen; history; text; internal format)

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

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

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

Adjacent sequences: A359929 A359930 A359931 * A359933 A359934 A359935

KEYWORD

nonn,more

AUTHOR

Scott R. Shannon, Jan 19 2023

STATUS

approved