A373108 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 when every pair of the 4 + 4*n points are connected by a circle and where the points lie at the ends of the circle's diameter.

16, 196, 1608, 5784, 16848, 37300, 78420, 136920, 233336, 363200, 565700

Offset

0,1

Comments

A circle is constructed for every pair of the 4 + 4*n points, the two points lying at the ends of a diameter of the circle.

See A373106 and A373107 for images of the circles.

Links

Table of n, a(n) for n=0..10.

Formula

a(n) = A373106(n) + A373107(n) - 1 by Euler's formula.

Crossrefs

Cf. A373106 (vertices), A373107 (regions), A373109 (k-gons), A373110 (circles), A372979, A372733, A358783, A362235, A360353.

Sequence in context: A068989 A017318 A173668 * A126981 A086940 A016173

Adjacent sequences: A373105 A373106 A373107 * A373109 A373110 A373111

Keyword

nonn,more

Author

Scott R. Shannon, May 25 2024

Status

approved