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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, using only a compass.
5

%I #6 May 19 2024 08:53:40

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

%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, using only a compass.

%C 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.

%C See A372977 and A372978 for images of the circles.

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

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

%K nonn,more

%O 0,1

%A _Scott R. Shannon_, May 19 2024