A359252 - OEIS

A359252

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

2, 13, 46, 101, 226, 417, 744, 1169, 1802, 2599, 3742, 5139, 7022, 9261, 12110, 15367, 19456, 24117, 29858, 36323, 43950, 52595, 62784, 73931, 86806, 101059, 117364, 135155, 155506

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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(n-1).

No formula for a(n) is currently known.

LINKS

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

Scott R. Shannon, Image for n = 2.

Scott R. Shannon, Image for n = 3.

Scott R. Shannon, Image for n = 4.

Scott R. Shannon, Image for n = 5.

Scott R. Shannon, Image for n = 6.

Scott R. Shannon, Image for n = 10.

Scott R. Shannon, Image for n = 11.

Scott R. Shannon, Image for n = 20.

FORMULA