A096437 -id:A096437 - cp's OEIS frontend

A106152 Decimal expansion of sqrt(Pi^2 - e^2)/(Pi/2).

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

Offset: 1

Zak Seidov, May 07 2005

Simple expression with value close to integer.

			1.0026606406091976568744021395989004458243755528228783848496318683..

G. C. Greubel, Table of n, a(n) for n = 1..5000

Cf. A019669, A096437.

RealDigits[N[Sqrt[Pi^2 - E^2]/(Pi/2), 120]][[1]]

2*sqrt(Pi^2 - exp(2))/Pi \\ G. C. Greubel, Jan 13 2017

c = sqrt(Pi^2 - e^2)/(Pi/2).

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

Original entry on oeis.org

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

Zak Seidov, May 07 2005

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).

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

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

Cf. A096437.

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

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

Offset corrected by Andrew Howroyd, Sep 01 2024

cp's OEIS Frontend

A106152 Decimal expansion of sqrt(Pi^2 - e^2)/(Pi/2).

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Programs

Mathematica

PARI

Formula