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%I #25 May 17 2022 03:43:32
%S 1,7,1,9,7,3,2,9,1,5,4,5,0,7,1,1,0,7,3,9,2,7,1,3,1,9,1,1,9,3,3,5,2,2,
%T 4,0,2,1,5,0,6,8,9,4,4,0,1,4,9,4,1,6,7,7,0,0,5,4,5,3,3,4,3,3,3,1,9,4,
%U 1,4,8,9,8,0,6,2,9,2,4,3,3,9,8,8,3,6,6,2,5,5,0,7
%N Decimal expansion of Pi^2 + 8*K, where K is Catalan's constant.
%H G. C. Greubel, <a href="/A282823/b282823.txt">Table of n, a(n) for n = 2..10000</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PolygammaFunction.html">Polygamma Function</a> (formula 24).
%F Equals 16*A222183.
%F Equals Psi(1, 1/4), where Psi(r, x) is the Polygamma function of order r.
%F Equals Sum_{k>=0} 1/(k + 1/4)^2. - _Amiram Eldar_, May 17 2022
%e 17.19732915450711073927131911933522402150689440149416770054533433319414...
%t RealDigits[Pi^2 + 8 Catalan, 10, 100][[1]]
%o (PARI) Pi^2 + 8*Catalan \\ _Charles R Greathouse IV_, Mar 04 2018
%o (PARI) zetahurwitz(2,1/4) \\ _Charles R Greathouse IV_, Mar 04 2018
%o (Magma) SetDefaultRealField(RealField(100)); R:= RealField(); Pi(R)^2 + 8*Catalan(R); // _G. C. Greubel_, Aug 24 2018
%Y Cf. A000796, A006752, A222183, A282824.
%K nonn,cons
%O 2,2
%A _Bruno Berselli_, Mar 06 2017
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