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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 Table of n, a(n) for n=1..10. 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 Adjacent sequences: A358885 A358886 A358887 * A358889 A358890 A358891 KEYWORD nonn,more AUTHOR Scott R. Shannon and N. J. A. Sloane, Dec 05 2022 STATUS approved

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Last modified July 17 08:16 EDT 2024. Contains 374360 sequences. (Running on oeis4.)