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A019693 Decimal expansion of 2*Pi/3. 10

%I #57 Sep 28 2022 13:44:57

%S 2,0,9,4,3,9,5,1,0,2,3,9,3,1,9,5,4,9,2,3,0,8,4,2,8,9,2,2,1,8,6,3,3,5,

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

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

%N Decimal expansion of 2*Pi/3.

%C Volume between a cylinder and the inscribed sphere of radius 1. - _Omar E. Pol_, Sep 25 2013

%C (2/3)*Pi is also the surface area of a sphere whose diameter equals the square root of 2/3. More generally, x*Pi is also the surface area of a sphere whose diameter equals the square root of x. - _Omar E. Pol_, Jun 18 2018

%C Volume of a hemisphere of radius 1. - _Omar E. Pol_, Aug 17 2019

%H Ivan Panchenko, <a href="/A019693/b019693.txt">Table of n, a(n) for n = 1..1000</a>

%H Philippe Flajolet and Robert Sedgewick, <a href="http://algo.inria.fr/flajolet/Publications/AnaCombi/anacombi.html">Analytic Combinatorics</a>, Cambridge Univ. Press, 2009, pp. 235-236.

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

%F Equals 5*A019699. - _Omar E. Pol_, Aug 17 2019

%F Equals arccos(-1/2). - _Amiram Eldar_, Aug 12 2020

%F Equals Integral_{x=-oo..oo} 1/(1 + x^6) dx. - _Stefano Spezia_, Mar 05 2022

%e 2.094395102393195492308428922186335256131446... - _Omar E. Pol_, Sep 25 2013

%t RealDigits[N[2*Pi/3, 6!]] (* _Vladimir Joseph Stephan Orlovsky_, Dec 02 2009 *)

%o (PARI) 2*Pi/3 \\ _Michel Marcus_, Jun 19 2018

%Y Cf. A000796, A019692, A019699, A157697.

%K nonn,cons

%O 1,1

%A _N. J. A. Sloane_

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)