A372979 Number of edges among all distinct circles that can be constructed from the 4 vertices and the equally spaced 4*n points placed on the sides of a square, using only a compass.

84, 1180, 8836, 29980, 80564, 193172, 403780, 654196, 1159780

Offset: 0

Author

Scott R. Shannon, May 19 2024

Keywords

• nonn
• more

Comments

A circle is constructed for every pair of the 4 + 4*n points, the first point defines the circle's center while the second the radius distance.

See A372977 and A372978 for images of the circles.

Crossrefs

Cf. A372977 (vertices), A372978 (regions), A372980 (k-gons), A372981 (circles), A372616, A371375, A356358, A360353.

Formula

a(n) = A372977(n) + A372978(n) - 1 by Euler's formula.