A360353 Number of edges among all distinct circles that can be constructed from an n X n square grid of points when each pair of points is connected by a circle and the points lie at the ends of a diameter of the circle.

16, 244, 2580, 15788, 67144, 227888, 668008, 1712960, 3968028

Offset: 2

Author

Scott R. Shannon, Feb 04 2023

Keywords

• nonn
• more

Comments

A circle is constructed for every pair of points on the n X n grid, the points lying at the ends of a diameter of the circle. The number of distinct circles constructed from the n X n grid is A360350(n).

See A360351 and A360352 for images of the circles.

Crossrefs

Cf. A360351 (vertices), A360352 (regions), A360354 (k-gons), A360350 (distinct circles), A359934.

Formula

a(n) = A360351(n) + A360352(n) - 1 by Euler's formula.