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A359974
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Number of vertices formed inside a right triangle by the straight line segments mutually connecting all vertices and points on the two shorter edges whose positions on one edge equal the Farey series of order n while on the other they divide its length into n equal segments.
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6
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3, 6, 26, 93, 424, 876, 2785, 5542, 11575, 18761, 40249, 57399, 109376, 155965, 227884, 322377, 532454, 676282, 1056010, 1334975, 1767798, 2240664, 3252047, 3882192, 5226897
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OFFSET
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1,1
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COMMENTS
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The number of vertices on the edge with point positions equaling the Farey series of order n is A005728(n). No formula for a(n) is known.
This graph is related to the 'Farey fan' given in the reference.
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REFERENCES
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McIlroy, M. D. "A Note on Discrete Representation of Lines". AT&T Technical Journal, 64 (1985), 481-490.
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LINKS
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FORMULA
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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STATUS
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approved
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