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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.
5

%I #23 Jan 17 2021 11:29:42

%S 3,42,264,957,2763,5946,11976,20808,35121,53853,81822,116658,164409,

%T 222072,297654,386613,499305,629124,789156,970404,1189923,1435689,

%U 1726980,2050254,2428101,2843862,3323646,3847863,4446861,5096730,5833128,6627840,7520769,8480367,9550638,10695942,11966043

%N 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.

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

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

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Reuleaux_triangle">Reuleaux triangle</a>.

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

%K nonn

%O 1,1

%A _Scott R. Shannon_ and _N. J. A. Sloane_, Jan 14 2021