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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.
4

%I #6 May 26 2024 08:20:23

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

%N 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.

%C 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.

%C See A373106 and A373107 for images of the circles.

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

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

%K nonn,more

%O 0,1

%A _Scott R. Shannon_, May 25 2024