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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. 8
16, 244, 2580, 15788, 67144, 227888, 668008, 1712960, 3968028 (list; graph; refs; listen; history; text; internal format)
OFFSET
2,1
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.
LINKS
FORMULA
a(n) = A360351(n) + A360352(n) - 1 by Euler's formula.
CROSSREFS
Cf. A360351 (vertices), A360352 (regions), A360354 (k-gons), A360350 (distinct circles), A359934.
Sequence in context: A138460 A182148 A304170 * A217635 A183431 A222383
KEYWORD
nonn,more
AUTHOR
Scott R. Shannon, Feb 04 2023
STATUS
approved

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Last modified June 13 10:24 EDT 2024. Contains 373383 sequences. (Running on oeis4.)