A340644 The number of vertices on a Reuleaux triangle formed by the straight line segments mutually connecting all vertices and all points that divide the sides into n equal parts.

3, 19, 120, 442, 1332, 2863, 5871, 10171, 17358, 26518, 40590, 57757, 81735, 110209, 148158, 192184, 248772, 313105, 393429, 483283, 593490, 715528, 861660, 1022281, 1211811, 1418515, 1659108, 1919842, 2220204, 2543527, 2912751, 3308305, 3755922, 4233730, 4770150, 5340529, 5977071

Offset

1,1

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, Vertices for n = 2.

Scott R. Shannon, Vertices for n = 3.

Scott R. Shannon, Vertices for n = 4.

Scott R. Shannon, Vertices for n = 5.

Scott R. Shannon, Vertices for n = 6.

Scott R. Shannon, Vertices for n = 10.

Scott R. Shannon, Vertices for n = 11.

Wikipedia, Reuleaux triangle.

Crossrefs

Cf. A340639 (regions), A340613 (edges), A340614 (n-gons), A007678, A092867.

Sequence in context: A139176 A302443 A126809 * A020073 A138977 A163605

Adjacent sequences: A340641 A340642 A340643 * A340645 A340646 A340647

Keyword

nonn

Author

Scott R. Shannon and N. J. A. Sloane, Jan 14 2021

Status

approved