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%I #15 Sep 08 2022 08:46:13
%S 5,4,4,4,8,7,4,4,5,6,4,8,5,3,1,7,7,3,4,0,9,9,3,6,1,0,0,4,1,3,7,6,5,0,
%T 6,8,9,5,7,1,6,6,8,6,9,4,4,3,5,3,8,2,5,6,5,6,4,7,9,8,6,9,2,4,3,0,2,7,
%U 9,1,0,9,4,2,3,3,3,8,4,1,6,3,9,0,3,2,5,1,6,4,4,6,8,1,7,7,8,6,3,3,0,0,9,2,9
%N Decimal expansion of -Gamma'''(1).
%H G. C. Greubel, <a href="/A261509/b261509.txt">Table of n, a(n) for n = 1..10000</a>
%H Tom M. Apostol, <a href="https://doi.org/10.1090/S0025-5718-1985-0771044-5">Formulas for higher derivatives of the Riemann zeta function</a>, Mathematics of Computation 44 (1985), p. 223-232.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/GammaFunction.html">Gamma Function</a>.
%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Gamma_function">Gamma function</a>.
%F From _Amiram Eldar_, Aug 06 2020: (Start)
%F Equals gamma^3 + gamma*Pi^2/2 + 2*zeta(3).
%F Equals -Integral_{x=0..oo} exp(-x)*log(x)^3 dx. (End)
%e 5.4448744564853177340993610041376506895716686944353825656479...
%t RealDigits[EulerGamma^3 + (EulerGamma*Pi^2)/2 + 2*Zeta[3], 10, 120][[1]]
%o (PARI) default(realprecision, 100); Euler^3 + Euler*Pi^2/2 + 2*zeta(3) \\ _G. C. Greubel_, Aug 30 2018
%o (Magma) SetDefaultRealField(RealField(100)); R:= RealField(); L:=RiemannZeta(); EulerGamma(R)^3 + (EulerGamma(R)*Pi(R)^2)/2 + 2*Evaluate(L,3); // _G. C. Greubel_, Aug 30 2018
%Y Cf. A001620, A081855, A002117.
%K nonn,cons
%O 1,1
%A _Vaclav Kotesovec_, Aug 22 2015
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