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Decimal expansion of square root of (Pi/6).
1

%I #30 Oct 01 2022 14:11:54

%S 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,

%T 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,

%U 8,2,0,5,2,8,6,2

%N Decimal expansion of square root of (Pi/6).

%C Edge of a cube with surface area Pi.

%H G. C. Greubel, <a href="/A210975/b210975.txt">Table of n, a(n) for n = 0..5000</a>

%H I. S. Gradsteyn, I. M. Ryzhik, <a href="http://mathtable.com/gr/index.html">Table of integrals, series and products</a>, (1980), page 420 (formulas 3.757.1, 3.757.2).

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>

%F Equals (Pi/6)^(1/2).

%F Equals sqrt(A019673).

%F From _A.H.M. Smeets_, Sep 22 2018: (Start)

%F Equals Integral_{x >= 0} sin(3x)/sqrt(x) dx [Gradshteyn and Ryzhik].

%F Equals Integral_{x >= 0} cos(3x)/sqrt(x) dx [Gradshteyn and Ryzhik]. (End)

%e 0.723601254558267659363...

%p sqrt(Pi/6) ; evalf(%) ; # _R. J. Mathar_, Sep 14 2012

%t RealDigits[Sqrt[Pi/6], 10, 50][[1]] (* _G. C. Greubel_, May 31 2017 *)

%o (PARI) sqrt(Pi/6) \\ _Charles R Greathouse IV_, Apr 16 2014

%Y Cf. A019673.

%K nonn,cons

%O 0,1

%A _Omar E. Pol_, Aug 09 2012

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Last modified September 20 06:55 EDT 2024. Contains 376067 sequences. (Running on oeis4.)