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Number of edges among all distinct circles that can be constructed from a point on the origin and n equally spaced points on each of the +x,-x,+y,-y coordinates axes when each pair of points is connected by a circle and where the points lie at the ends of the circles' diameter.
4

%I #6 Apr 14 2023 07:32:50

%S 48,620,3184,10516,27240,57676,109880,189436,307200,474820,703880

%N Number of edges among all distinct circles that can be constructed from a point on the origin and n equally spaced points on each of the +x,-x,+y,-y coordinates axes when each pair of points is connected by a circle and where the points lie at the ends of the circles' diameter.

%C A circle is constructed for every pair of the 1 + 4n points, the two points lying at the ends of a diameter of the circle. The number of distinct circles constructed from the points is A139275(n).

%C No formula for a(n) is currently known.

%C See A362233 and A362234 for images of the circles.

%F a(n) = A362234(n) + A362233(n) - 1 by Euler's formula.

%Y Cf. A362233 (vertices), A362234 (regions), A362236 (k-gons), A139275 (distinct circles), A356358, A359934.

%K nonn,more

%O 1,1

%A _Scott R. Shannon_, Apr 13 2023