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 A359655 Number of edges formed in a square with edge length 1 by straight line segments when connecting the internal edge points that divide the sides into segments with lengths equal to the Farey series of order n to the equivalent points on the opposite side of the square. 4
 4, 12, 172, 1320, 14588, 33312, 197416, 469040, 1305112, 2274592, 7172784, 10407700, 27421412 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The number of points internal to each edge is given by A005728(n) - 2. See A359653 and A359654 for images of the square. LINKS Table of n, a(n) for n=1..13. FORMULA a(n) = A359653(n) + A359654(n) - 1 by Euler's formula. CROSSREFS Cf. A359653 (regions) A359654 (vertices), A359656 (k-gons), A005728, A358888, A358884, A355800, A358950, A006842, A006843. Sequence in context: A365310 A222393 A367883 * A213143 A173603 A175718 Adjacent sequences: A359652 A359653 A359654 * A359656 A359657 A359658 KEYWORD nonn,more AUTHOR Scott R. Shannon and N. J. A. Sloane, Jan 10 2023 STATUS approved

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Last modified June 13 09:03 EDT 2024. Contains 373383 sequences. (Running on oeis4.)