A106153 - OEIS

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

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OFFSET

2,1

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).

LINKS

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

EXAMPLE

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

MATHEMATICA

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

PROG

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

CROSSREFS

Cf. A096437.

Sequence in context: A326397 A140577 A068606 * A166244 A022001 A265832

Adjacent sequences: A106150 A106151 A106152 * A106154 A106155 A106156