A366019 - OEIS

%I #10 Oct 03 2023 13:16:58

%S 7,2,9,4,6,2,4,2,4,4,8,4,3,1,8,6,5,8,0,7,0,2,3,9,0,9,1,2,2,2,0,3,0,6,

%T 2,8,7,2,9,1,7,6,1,3,5,6,8,6,2,7,1,0,5,6,6,9,5,2,1,7,3,0,9,5,2,8,7,8,

%U 1,7,6,1,6,1,5,1,0,6,7,9,1,9,2,2,1

%N Decimal expansion of the average distance between two points in a regular tetrahedron of unit volume.

%H Dominik Beck, <a href="https://arxiv.org/abs/2309.13177">Mean distance in polyhedra</a>, arXiv:2309.13177 [math.PR], 22 Sep 2023.

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/TetrahedronLinePicking.html">Tetrahedron Line Picking</a>

%e 0.729462424484318...

%t RealDigits[3^(1/3) (Sqrt[2]/7 - 37 Pi/315 + 4/15 ArcTan[Sqrt[2]] + 113 Log[3]/(210 Sqrt[2])), 10, 85][[1]]

%Y Cf. A073012.

%K nonn,cons

%O 1,1

%A _Eric W. Weisstein_, Sep 26 2023