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A359654
Number of vertices 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.
6
4, 9, 77, 593, 6749, 15569, 93281, 222933, 623409, 1087393, 3453289, 5011009, 13271517
OFFSET
1,1
COMMENTS
The number of points internal to each edge is given by A005728(n) - 2.
LINKS
Scott R. Shannon, Image for n = 2.
Scott R. Shannon, Image for n = 3.
Scott R. Shannon, Image for n = 4.
Scott R. Shannon, Image for n = 5.
Scott R. Shannon, Image for n = 6.
FORMULA
a(n) = A359655(n) - A359653(n) + 1 by Euler's formula.
CROSSREFS
Cf. A359653 (regions), A359655 (edges), A359656 (k-gons), A005728, A358887, A358883, A355799, A358949, A006842, A006843.
Sequence in context: A041597 A041030 A361067 * A061104 A082381 A155931
KEYWORD
nonn,more
AUTHOR
STATUS
approved