A340442 - OEIS

%I #18 Mar 27 2024 20:15:27

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

%F Equals Sum_{k>=1} log(k)^2/k^3. - _Amiram Eldar_, May 28 2021

%e 0.239746917305387184244176549838881...

%p evalf(Zeta(2,3.0),100) ;

%t RealDigits[Zeta''[3], 10, 100][[1]] (* _Amiram Eldar_, May 28 2021 *)

%o (PARI) zeta''(3) \\ _Michel Marcus_, Jan 07 2021

%Y Cf. A201994, A340443.

%K nonn,cons

%O 0,1

%A _R. J. Mathar_, Jan 07 2021