A102520 Decimal expansion of 1-(9*sqrt(3))/(8*Pi).

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

Offset: 0

Author

Mark Hudson (mrmarkhudson(AT)hotmail.com), Jan 13 2005

Keywords

• cons
• nonn

Comments

This is the probability that a Gaussian triangle in 5 dimensions is obtuse.

Also, the probability that the distance between 2 randomly selected points within a 4-dimensional ball will be smaller than its radius. - Amiram Eldar, Apr 14 2022

Links

• G. C. Greubel, Table of n, a(n) for n = 0..5000
• Steven R. Finch, Random Triangles, January 21, 2010. [Cached copy, with permission of the author]
• Eric Weisstein's World of Mathematics, Ball Line Picking.
• Eric Weisstein's World of Mathematics, Gaussian Triangle Picking.
• Index entries for transcendental numbers

Crossrefs

Cf. A102519.

Programs

Mathematica

RealDigits[1 - (9*Sqrt[3])/(8*Pi), 10, 50][[1]] (* G. C. Greubel, Jun 02 2017 *)

PARI

1 - (9*sqrt(3))/(8*Pi) \\ G. C. Greubel, Jun 01 2017