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A359252
Number of vertices among all distinct circles that can be constructed from n equally spaced points along a line using only a compass.
9
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
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
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
a(n) = A359254(n) - A359253(n) + 1 by Euler's formula.
CROSSREFS
Cf. A359253 (regions), A359254 (edges), A359258 (k-gons), A001859, A290447, A331702, A358746.
Sequence in context: A002534 A212501 A117717 * A176060 A168172 A127305
KEYWORD
nonn,more
AUTHOR
Scott R. Shannon, Dec 22 2022
STATUS
approved