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A358888 Number of edges formed inside a square with edge length 1 by the straight line segments mutually connecting all vertices and points that divide the sides into segments with lengths equal to the Farey series of order n = A006842(n,k)/A006843(n,k), k = 1..A005728(n). 10
8, 92, 1744, 10612, 95460, 210020, 1161404, 2708424, 7392884, 12820768 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
The number of points along each edge is given by A005728(n).
See A358886 and A358887 for images of the square.
LINKS
Wikipedia, Farey sequence.
FORMULA
a(n) = A358886(n) + A358887(n) - 1 by Euler's formula.
CROSSREFS
Cf. A358886 (regions), A358887 (vertices), A358889 (k-gons), A006842, A006843, A005728, A358882, A358884.
The Farey Diagrams Farey(m,n) are studied in A358298-A358307 and A358882-A358885, the Completed Farey Diagrams of order (m,n) in A358886-A358889.
Sequence in context: A298188 A299083 A184142 * A137159 A356669 A099291
KEYWORD
nonn,more
AUTHOR
STATUS
approved

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Last modified June 13 08:31 EDT 2024. Contains 373383 sequences. (Running on oeis4.)