cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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).

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%I A358888 #12 Dec 06 2022 19:33:37
%S A358888 8,92,1744,10612,95460,210020,1161404,2708424,7392884,12820768
%N 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).
%C A358888 The number of points along each edge is given by A005728(n).
%C A358888 See A358886 and A358887 for images of the square.
%H A358888 Wikipedia, <a href="https://en.wikipedia.org/wiki/Farey_sequence">Farey sequence</a>.
%F A358888 a(n) = A358886(n) + A358887(n) - 1 by Euler's formula.
%Y A358888 Cf. A358886 (regions), A358887 (vertices), A358889 (k-gons), A006842, A006843, A005728, A358882, A358884.
%Y A358888 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.
%K A358888 nonn,more
%O A358888 1,1
%A A358888 _Scott R. Shannon_ and _N. J. A. Sloane_, Dec 05 2022