A196654 Decimal expansion of mean square width of the regular tetrahedron.

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

Offset

0,1

Links

Table of n, a(n) for n=0..104.

Steven R. Finch, Width Distributions for Convex Regular Polyhedra, arXiv:1110.0671 [math.MG], 2011-2016.

Steven R. Finch, Mean width of a regular simplex, arXiv:1111.4976 [math.MG], 2011-2016, E(w_3^2).

Formula

Equals 1/3 + (3+sqrt(3))/(3*Pi).

Example

0.83541951799105468804154302618268520453471478493645978176...

Mathematica

RealDigits[1/3 + (3+Sqrt[3])/(3*Pi), 10, 120][[1]] (* Amiram Eldar, May 31 2023 *)

Prog

(PARI) 1/3+(3+sqrt(3))/(3*Pi) \\ Charles R Greathouse IV, Oct 04 2012

Crossrefs

Sequence in context: A357108 A110234 A334073 * A019728 A265183 A113476

Adjacent sequences: A196651 A196652 A196653 * A196655 A196656 A196657

Keyword

nonn,easy,cons

Author

Jonathan Vos Post, Oct 04 2011

Status

approved