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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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The terms are from numeric computation - no formula for a(n) is currently known. LINKS Table of n, a(n) for n=1..37. 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. Scott R. Shannon, Regions for n = 9 with random distance-based coloring. Scott R. Shannon, Regions for n = 10 with random distance-based coloring. Wikipedia, Reuleaux triangle. CROSSREFS Cf. A340644 (vertices), A340613 (edges), A340614 (n-gons), A007678, A092867. Sequence in context: A158047 A042116 A215756 * A290313 A042118 A039494 Adjacent sequences: A340636 A340637 A340638 * A340640 A340641 A340642 KEYWORD nonn AUTHOR Scott R. Shannon and N. J. A. Sloane, Jan 14 2021 STATUS approved

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Last modified June 22 21:12 EDT 2024. Contains 373608 sequences. (Running on oeis4.)