A362235 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 when each pair of points is connected by a circle and where the points lie at the ends of the circles' diameter.

48, 620, 3184, 10516, 27240, 57676, 109880, 189436, 307200, 474820, 703880

Offset

1,1

Comments

A circle is constructed for every pair of the 1 + 4n points, the two points lying at the ends of a diameter of the circle. The number of distinct circles constructed from the points is A139275(n).

No formula for a(n) is currently known.

See A362233 and A362234 for images of the circles.

Links

Table of n, a(n) for n=1..11.

Formula

a(n) = A362234(n) + A362233(n) - 1 by Euler's formula.

Crossrefs

Cf. A362233 (vertices), A362234 (regions), A362236 (k-gons), A139275 (distinct circles), A356358, A359934.

Sequence in context: A171343 A151624 A187611 * A160286 A008658 A215893

Adjacent sequences: A362232 A362233 A362234 * A362236 A362237 A362238

Keyword

nonn,more

Author

Scott R. Shannon, Apr 13 2023

Status

approved