A361622 Number of 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.

13, 46, 99, 164, 257, 370, 503, 648, 821, 1014, 1227, 1444, 1697, 1970, 2255

Offset: 1

Author

Scott R. Shannon, Mar 18 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.

No formula for a(n) is known.

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

Crossrefs

Cf. A354605 (vertices), A353782 (regions), A356358 (edges), A361623 (k-gons)