

A359254


Number of edges among all distinct circles that can be constructed from n equally spaced points along a line using only a compass.


6



4, 26, 96, 216, 480, 882, 1564, 2464, 3804, 5502, 7912, 10864, 14816, 19526, 25508, 32392, 40992, 50818, 62852, 76432, 92460, 110590, 131904, 155306, 182316, 212188, 246316, 283586, 326100
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OFFSET

2,1


COMMENTS

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(n1).
See A359252 and A359253 for images of the circles.


LINKS

Table of n, a(n) for n=2..30.


FORMULA

a(n) = A359252(n) + A359253(n)  1 by Euler's formula.


CROSSREFS

Cf. A359252 (vertices), A359253 (regions), A359258 (kgons), A001859, A290866, A359047, A358783.
Sequence in context: A299670 A299748 A300262 * A222663 A267675 A140804
Adjacent sequences: A359250 A359252 A359253 * A359255 A359256 A359257


KEYWORD

nonn,more


AUTHOR

Scott R. Shannon, Dec 22 2022


STATUS

approved



