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

1,1

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. 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.

Links

Table of n, a(n) for n=1..8.

Formula

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

Crossrefs

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

Sequence in context: A348831 A200433 A222950 * A232671 A082828 A254704

Adjacent sequences: A356355 A356356 A356357 * A356359 A356360 A356361

Keyword

nonn,more

Author

Scott R. Shannon, Mar 13 2023

Status

approved