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Number of edges among all distinct circles that can be constructed from a 2 X n square grid of points using only a compass.
5

%I #10 Jan 17 2023 09:56:49

%S 4,84,420,1604,3904,8444,15524,27356,43540,67720,99088,142912,196820,

%T 267580,352844,460432,586592,741852

%N Number of edges among all distinct circles that can be constructed from a 2 X n square grid of points using only a compass.

%C See A359859 and A359860 for further details and images of the circles. No formula for a(n) is known.

%e a(n) = A359859(n) + A359860(n) - 1 by Euler's formula.

%Y Cf. A359859 (vertices), A359860 (regions), A359862 (k-gons), A001859, A359254.

%K nonn,more

%O 1,1

%A _Scott R. Shannon_, Jan 16 2023