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

1,1

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

Table of n, a(n) for n=1..37.

Wikipedia, Reuleaux triangle.

Crossrefs

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

Sequence in context: A015786 A229071 A220857 * A157537 A322893 A114943

Adjacent sequences: A340610 A340611 A340612 * A340614 A340615 A340616

Keyword

nonn

Author

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

Status

approved