A340613 The number of edges 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, 42, 264, 957, 2763, 5946, 11976, 20808, 35121, 53853, 81822, 116658, 164409, 222072, 297654, 386613, 499305, 629124, 789156, 970404, 1189923, 1435689, 1726980, 2050254, 2428101, 2843862, 3323646, 3847863, 4446861, 5096730, 5833128, 6627840, 7520769, 8480367, 9550638, 10695942, 11966043

Offset: 1

Author

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

Keywords

• nonn

Comments

The terms are from numeric computation - no formula for a(n) is currently known.

See A340639 for images of the regions and A340644 for images of the vertices.

Links

• Wikipedia, Reuleaux triangle.

Crossrefs

Cf. A340639 (regions), A340644 (vertices), A340614 (n-gons), A007678, A092867.