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%I #8 May 12 2024 10:04:41
%S 12,138,738,2838,7194,17904,33954,62868,103866,167280,248826,370458,
%T 511806,715905,952608,1260366
%N Number of curved edges among all distinct circles that can be constructed from the 3 vertices and the equally spaced 3*n points placed on the sides of an equilateral triangle when every pair of the 3 + 3*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 3 + 3*n points, the two points lying at the ends of a diameter of the circle.
%C See A372731 and A372732 for images of the circles.
%F a(n) = A372731(n) + A372732(n) - 1 by Euler's formula.
%Y Cf. A372731 (vertices), A372732 (regions), A372734 (k-gons), A372735 (number of circles), A372616, A371375, A356358, A360353.
%K nonn,more
%O 0,1
%A _Scott R. Shannon_, May 12 2024
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