login
A359693
Number of edges in a regular drawing of a complete bipartite graph where the vertex positions on each part equal the Farey series of order n.
7
6, 24, 162, 670, 4456, 8942, 44470, 98902, 259114, 438552, 1330566, 1897164, 4893752, 7246502, 11544278, 17678880
OFFSET
1,1
COMMENTS
The number of vertices along each edge is A005728(n). No formula for a(n) is known.
See A359690 and A359692 for images of the graph.
LINKS
Eric Weisstein's World of Mathematics, Complete Bipartite Graph.
Wikipedia, Farey sequence.
FORMULA
a(n) = A359690(n) + A359692(n) - 2*A005728(n) + 1 by Euler's formula.
CROSSREFS
Cf. A359690 (vertices), A359691 (crossings), A359692 (regions), A359694 (k-gons), A005728, A290132, A359655, A358888, A358884, A006842, A006843.
Sequence in context: A122829 A232688 A221980 * A225827 A375627 A349498
KEYWORD
nonn,more
AUTHOR
STATUS
approved