A359118 Number of edges in the planar Farey Ring graph FR(n) defined in A359116, including the regions bewteen the convex hull and the bounding circle.

1, 2, 12, 48, 457, 1027, 6190, 14652, 40852, 71601, 223637, 325661, 847984, 1269433, 2053303, 3157887, 6638971, 8490949, 16421392, 21323264, 30639928

Offset

1,2

Comments

See A359116 and A359117 for images of the figure.

Links

Table of n, a(n) for n=1..21.

Formula

a(n) = A359116 + A359117 - 1 by Euler's formula.

Crossrefs

Cf. A359116 (vertices), A359117 (regions), A359119 (k-gons), A358888, A006842, A006843, A005728, A135565.

Sequence in context: A052591 A029766 A088311 * A338522 A277183 A052588

Adjacent sequences: A359115 A359116 A359117 * A359119 A359120 A359121

Keyword

nonn,more

Author

Scott R. Shannon and N. J. A. Sloane, Dec 17 2022

Status

approved