A356358 Number of edges among all distinct circles that can be constructed from a point on the origin and n equally spaced points on each of the +x,-x,+y,-y coordinates axes using only a compass.

212, 2408, 10548, 28728, 71588, 149280, 278716, 461824

Offset: 1

Author

Scott R. Shannon, Mar 13 2023

Keywords

• nonn
• more

Comments

A circle is constructed for every pair of the 1 + 4n points, the first point defines the circle's center while the second the radius distance. The number of distinct circles constructed from the points is A361622(n).

No formula for a(n) is known.

See A354605 and A353782 for images of the vertices and regions.

Crossrefs

Cf. A354605 (vertices), A353782 (regions), A361623 (k-gons), A361622 (distinct circles), A359934, A359861, A359254, A359571, A359047.

Formula

a(n) = A353782(n) + A354605(n) - 1 by Euler's formula.