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A196654
Decimal expansion of mean square width of the regular tetrahedron.
0
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
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
KEYWORD
nonn,easy,cons
AUTHOR
Jonathan Vos Post, Oct 04 2011
STATUS
approved