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A340639
The number of regions inside a Reuleaux triangle formed by the straight line segments mutually connecting all vertices and all points that divide the sides into n equal parts.
6
1, 24, 145, 516, 1432, 3084, 6106, 10638, 17764, 27336, 41233, 58902, 82675, 111864, 149497, 194430, 250534, 316020, 395728, 487122, 596434, 720162, 865321, 1027974, 1216291, 1425348, 1664539, 1928022, 2226658, 2553204, 2920378, 3319536, 3764848, 4246638, 4780489, 5355414, 5988973
OFFSET
1,2
COMMENTS
The terms are from numeric computation - no formula for a(n) is currently known.
LINKS
Scott R. Shannon, Regions for n = 2.
Scott R. Shannon, Regions for n = 3.
Scott R. Shannon, Regions for n = 4.
Scott R. Shannon, Regions for n = 5.
Scott R. Shannon, Regions for n = 6.
Scott R. Shannon, Regions for n = 10.
Scott R. Shannon, Regions for n = 11.
Wikipedia, Reuleaux triangle.
CROSSREFS
Cf. A340644 (vertices), A340613 (edges), A340614 (n-gons), A007678, A092867.
Sequence in context: A158047 A042116 A215756 * A290313 A042118 A039494
KEYWORD
nonn
AUTHOR
STATUS
approved