A361622 - OEIS

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

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

OFFSET

1,1

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.

LINKS

Table of n, a(n) for n=1..15.

CROSSREFS

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

Sequence in context: A121964 A147208 A281315 * A010003 A007587 A318035

Adjacent sequences: A361619 A361620 A361621 * A361623 A361624 A361625

KEYWORD

nonn,more

AUTHOR

Scott R. Shannon, Mar 18 2023

STATUS

approved