A359254 Number of edges among all distinct circles that can be constructed from n equally spaced points along a line using only a compass.

4, 26, 96, 216, 480, 882, 1564, 2464, 3804, 5502, 7912, 10864, 14816, 19526, 25508, 32392, 40992, 50818, 62852, 76432, 92460, 110590, 131904, 155306, 182316, 212188, 246316, 283586, 326100

Offset: 2

Author

Scott R. Shannon, Dec 22 2022

Keywords

• nonn
• more

Comments

A circle is constructed for every pair of the n points, the first point defines the circle's center while the second the radius distance. The number of distinct circles constructed for n points is A001859(n-1).

See A359252 and A359253 for images of the circles.

Crossrefs

Cf. A359252 (vertices), A359253 (regions), A359258 (k-gons), A001859, A290866, A359047, A358783.

Formula

a(n) = A359252(n) + A359253(n) - 1 by Euler's formula.