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A185197 Decimal expansion of 2/Pi^2. 10

%I #32 Sep 28 2022 14:12:43

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

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

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

%N Decimal expansion of 2/Pi^2.

%C Asymptotic density of the even squarefree numbers (A039956). - _Amiram Eldar_, May 22 2020

%D C. F. Gauss, Disquisitiones Arithmeticae, Yale, 1965; see p. 360.

%H Vincenzo Librandi, <a href="/A185197/b185197.txt">Table of n, a(n) for n = 0..3000</a>

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

%F Equals 1/(3*zeta(2)). - _Michel Marcus_, Jun 13 2017

%F Equals -Sum_{k>=1} mu(2*k)/(2*k)^2, where mu is the Möbius function (A008683). - _Amiram Eldar_, Jul 31 2020

%e .20264236728467554288775892641945527780871754934449309769121...

%t RealDigits[2/\[Pi]^2,10,100][[1]] (* _Harvey P. Dale_, Mar 16 2011 *)

%o (PARI) 2/Pi^2 \\ _Charles R Greathouse IV_, Mar 25 2014

%Y Cf. A008683, A013661, A039956.

%K cons,nonn

%O 0,1

%A _N. J. A. Sloane_, Feb 19 2011

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Last modified April 19 02:28 EDT 2024. Contains 371782 sequences. (Running on oeis4.)