A127205 Decimal expansion of 81*sqrt(3)/(8*Pi^3).

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

Offset

0,1

Comments

The maximum value of sin(A)*sin(B)*sin(C)/(A*B*C), where A, B and C are the vertex angles of a triangle (Abi-Khuzam, 1974). - Amiram Eldar, Jun 27 2021

Links

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

Faruk Abi-Khuzam, Proof of Yff's conjecture on the Brocard angle of a triangle, Elem. Math., Vol. 29 (1974), pp. 141-142.

Eric Weisstein's World of Mathematics, Abi-Khuzam Inequality.

Index entries for transcendental numbers

Example

0.56559562463613111310...

Mathematica

RealDigits[(81Sqrt[3])/(8Pi^3), 10, 120][[1]] (* Harvey P. Dale, Apr 15 2012 *)

Prog

(PARI) 81*sqrt(3)/8/Pi^3 \\ Charles R Greathouse IV, Oct 01 2022

Crossrefs

Sequence in context: A087496 A198742 A106704 * A006944 A010717 A046603

Adjacent sequences: A127202 A127203 A127204 * A127206 A127207 A127208

Keyword

nonn,cons

Author

Eric W. Weisstein, Jan 08 2007

Status

approved