The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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
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
KEYWORD
nonn,more
AUTHOR
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

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