A210975 Decimal expansion of square root of (Pi/6).
7, 2, 3, 6, 0, 1, 2, 5, 4, 5, 5, 8, 2, 6, 7, 6, 5, 9, 3, 6, 3, 0, 1, 4, 6, 2, 7, 2, 9, 0, 7, 9, 5, 7, 6, 7, 8, 7, 2, 1, 0, 8, 8, 9, 4, 7, 8, 4, 5, 4, 5, 9, 2, 6, 9, 7, 6, 2, 1, 2, 3, 2, 7, 7, 7, 0, 3, 6, 8, 2, 0, 5, 2, 8, 6, 2
Offset: 0
Examples
0.723601254558267659363...
Links
- G. C. Greubel, Table of n, a(n) for n = 0..5000
- I. S. Gradsteyn, I. M. Ryzhik, Table of integrals, series and products, (1980), page 420 (formulas 3.757.1, 3.757.2).
- Index entries for transcendental numbers
Crossrefs
Cf. A019673.
Programs
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Maple
sqrt(Pi/6) ; evalf(%) ; # R. J. Mathar, Sep 14 2012
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Mathematica
RealDigits[Sqrt[Pi/6], 10, 50][[1]] (* G. C. Greubel, May 31 2017 *)
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PARI
sqrt(Pi/6) \\ Charles R Greathouse IV, Apr 16 2014
Formula
Equals (Pi/6)^(1/2).
Equals sqrt(A019673).
From A.H.M. Smeets, Sep 22 2018: (Start)
Equals Integral_{x >= 0} sin(3x)/sqrt(x) dx [Gradshteyn and Ryzhik].
Equals Integral_{x >= 0} cos(3x)/sqrt(x) dx [Gradshteyn and Ryzhik]. (End)
Comments