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A359117
Number of regions in the planar Farey Ring graph FR(n) defined in A359116, including the regions bewteen the convex hull and the bounding circle.
4
1, 2, 8, 30, 250, 548, 3180, 7468, 20684, 36164, 112406, 163600, 425144, 636208, 1028934, 1581766, 3323182, 4249976, 8216442, 10668790, 15329216
OFFSET
1,2
LINKS
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.
Scott R. Shannon, Image for n = 7.
Scott R. Shannon, Image for n = 8.
Scott R. Shannon, Image for n = 9.
Scott R. Shannon, Image for n = 10.
FORMULA
a(n) = A359118 - A359116 + 1 by Euler's formula.
CROSSREFS
Cf. A359116 (vertices), A359118 (edges), A359119 (k-gons), A358886, A006842, A006843, A005728, A007678.
Sequence in context: A266043 A358962 A265950 * A294264 A367037 A007468
KEYWORD
nonn,more
AUTHOR
STATUS
approved