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A340442 Decimal expansion of zeta''(3), the second derivative of the Riemann zeta function at 3.

%I A340442 #18 Mar 27 2024 20:15:27
%S A340442 2,3,9,7,4,6,9,1,7,3,0,5,3,8,7,1,8,4,2,4,4,1,7,6,5,4,9,8,3,8,8,8,1,2,
%T A340442 9,9,5,5,0,9,2,7,2,9,5,5,4,2,9,1,1,6,9,7,8,1,2,9,9,9,0,4,1,5,4,9,1,8,
%U A340442 4,0,9,4,3,5,6,8,5,0,4,8,1,1,5,1,7,7,1,7,7,9,3,4,0,2,6,0,3,7,9,5,7,8,8,0,9
%N A340442 Decimal expansion of zeta''(3), the second derivative of the Riemann zeta function at 3.
%F A340442 Equals Sum_{k>=1} log(k)^2/k^3. - _Amiram Eldar_, May 28 2021
%e A340442 0.239746917305387184244176549838881...
%p A340442 evalf(Zeta(2,3.0),100) ;
%t A340442 RealDigits[Zeta''[3], 10, 100][[1]] (* _Amiram Eldar_, May 28 2021 *)
%o A340442 (PARI) zeta''(3) \\ _Michel Marcus_, Jan 07 2021
%Y A340442 Cf. A201994, A340443.
%K A340442 nonn,cons
%O A340442 0,1
%A A340442 _R. J. Mathar_, Jan 07 2021