A179275 Decimal expansion of 2*sqrt(Pi)/3^(1/4).

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

Offset: 1

Author

Rick L. Shepherd, Jul 07 2010

Keywords

• cons
• nonn

Comments

Also the side length of an equilateral triangle with area Pi (A000796), the area of a unit circle.

The area of an equilateral triangle with side length s is (sqrt(3)/4)s^2 = A120011*s^2, so A120011*(this constant)^2 = A000796.

Examples

			2.693547374177196721238160475092328667088670807308015892399206645495191607305...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 1..10000
• Index entries for transcendental numbers

Crossrefs

Cf. A002161 (sqrt(Pi)), A011002 (3^1/4), A000796 (Pi), A002194 (sqrt(3)), A120011 (sqrt(3)/4).

Programs

Mathematica

RealDigits[2*Sqrt[Pi]/3^(1/4), 10, 100][[1]] (* G. C. Greubel, Mar 24 2017 *)

PARI

2*sqrt(Pi)/3^(1/4)

Formula

2*sqrt(Pi)/3^(1/4) = 2*A002161/A011002.