A106153 Decimal expansion of arcsin(sqrt(1 - (e/Pi)^2)) (in degrees), lesser angle in right triangle with hypotenuse Pi and longer leg e.

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

Offset: 2

Author

Zak Seidov, May 07 2005

Keywords

• cons
• nonn

Comments

Triangle with hypotenuse Pi, longer leg e and shorter leg close to Pi/2 (and angle close to 30 degrees). Cf. A096437: Decimal expansion of sqrt(Pi^2 - e^2).

Examples

			arcsin(sqrt(1 - (e/Pi)^2))/Pi*180 = 30.08805238... degrees.
		

Links

• G. C. Greubel, Table of n, a(n) for n = 2..10000

Crossrefs

Cf. A096437.

Programs

Mathematica

RealDigits[N[ArcSin[Sqrt[Pi^2-E^2]/Pi]/Degree, 100]][[1]]

PARI

asin(sqrt(Pi^2 - exp(2))/Pi)*(180/Pi) \\ G. C. Greubel, May 24 2017

Extensions

Offset corrected by Andrew Howroyd, Sep 01 2024