%I #13 Dec 24 2022 11:06:02
%S 4,26,96,216,480,882,1564,2464,3804,5502,7912,10864,14816,19526,25508,
%T 32392,40992,50818,62852,76432,92460,110590,131904,155306,182316,
%U 212188,246316,283586,326100
%N Number of edges among all distinct circles that can be constructed from n equally spaced points along a line using only a compass.
%C A circle is constructed for every pair of the n points, the first point defines the circle's center while the second the radius distance. The number of distinct circles constructed for n points is A001859(n-1).
%C See A359252 and A359253 for images of the circles.
%F a(n) = A359252(n) + A359253(n) - 1 by Euler's formula.
%Y Cf. A359252 (vertices), A359253 (regions), A359258 (k-gons), A001859, A290866, A359047, A358783.
%K nonn,more
%O 2,1
%A _Scott R. Shannon_, Dec 22 2022