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Decimal expansion of 1/4 - 2/Pi^2.
3

%I #29 Oct 01 2022 00:01:02

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

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

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

%N Decimal expansion of 1/4 - 2/Pi^2.

%C Constant given on p. 1 of Schlage-Puchta.

%H G. C. Greubel, <a href="/A190357/b190357.txt">Table of n, a(n) for n = 0..10000</a>

%H Jan-Christoph Schlage-Puchta, <a href="http://arxiv.org/abs/1105.1305">Sumsets avoiding squarefree integers</a>, arXiv:1105.1305 [math.NT], May 06 2011.

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

%F Equals (1/4) - (2/Pi^2).

%e 0.047357632715324457112241...

%t Join[{0}, RealDigits[(1/4) - (2/Pi^2), 10, 100][[1]]] (* _G. C. Greubel_, Apr 05 2018 *)

%o (PARI) (1/4) - (2/Pi^2) \\ _G. C. Greubel_, Apr 05 2018

%o (Magma) R:=RealField(100); [(1/4) - (2/Pi(R)^2)]; // _G. C. Greubel_, Apr 05 2018

%Y Cf. A005117, A010716 (1/18), A059956 (6/Pi^2).

%K nonn,easy,cons

%O 0,2

%A _Jonathan Vos Post_, May 09 2011

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Last modified September 22 06:15 EDT 2024. Contains 376097 sequences. (Running on oeis4.)