A140272 Decimal expansion of arctan(3*sqrt(15)/29).

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

Offset: 0

Author

Rick L. Shepherd, May 16 2008, Jul 18 2008

Keywords

• cons
• nonn

Comments

The Brocard angle in radians of the obtuse scalene triangle with sides of lengths 2, 3 and 4, the scalene triangle with least integer side lengths. See formulas in the Weisstein link.

Examples

			0.38106956877756026908149342379874213938224647938776469222831569013225470496...
		

Links

• Eric Weisstein's World of Mathematics, Brocard Angle.
• Index entries for transcendental numbers

Crossrefs

Cf. A140273, A140239.

Programs

Mathematica

RealDigits[ArcTan[(3Sqrt[15])/29],10,120][[1]] (* Harvey P. Dale, Aug 24 2019 *)

PARI

atan(3*sqrt(15)/29)

Formula

arctan(3*sqrt(15)/29) = arctan(4*A140239/29) = arcsin(3*sqrt(915)/244) = arccos(29*sqrt(61)/244).