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 A358950 Number of edges formed inside a triangle 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). 6
 3, 21, 375, 2574, 22083, 52791, 279750, 673050, 1851816, 3272058, 9865560, 14592537 (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 A358948 and A358949 for images of the square. LINKS Table of n, a(n) for n=1..12. Wikipedia, Farey sequence. FORMULA a(n) = A358948(n) + A358949(n) - 1 by Euler's formula. CROSSREFS Cf. A358948 (regions), A358949 (vertices), A358951 (k-gons), A358888, A006842, A006843, A005728, A358882. Sequence in context: A101389 A353321 A108716 * A271570 A084620 A120603 Adjacent sequences: A358947 A358948 A358949 * A358951 A358952 A358953 KEYWORD nonn,more AUTHOR Scott R. Shannon and N. J. A. Sloane, Dec 07 2022 STATUS approved

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Last modified June 13 10:24 EDT 2024. Contains 373383 sequences. (Running on oeis4.)