This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A114875 #24 Feb 16 2025 08:33:00 %S A114875 3,9,2,2,6,4,6,1,3,9,2,0,9,1,5,1,7,2,7,4,7,1,5,3,1,4,4,6,7,1,4,5,9,9, %T A114875 5,1,3,7,3,0,3,2,3,9,7,1,5,0,6,5,0,5,2,0,9,5,6,8,2,9,8,4,8,5,2,5,4,7, %U A114875 2,0,8,0,3,1,5,0,3,3,8,2,8,4,8,8,0,6,5,0,5,2,3,1,0,4,1,4,5,6,9,1,4,0 %N A114875 Decimal expansion of -zeta'(1/2). %H A114875 B. K. Choudhury, <a href="https://doi.org/10.1098/rspa.1995.0096">The Riemann zeta-function and its derivatives</a>, Proc. R. Soc. Lond. A 445 (1995) 477, Table 3. %H A114875 J. Sondow and E. W. Weisstein, <a href="https://mathworld.wolfram.com/RiemannZetaFunction.html">MathWorld: Riemann Zeta Function</a>. %F A114875 Equals ((2*gamma + Pi + 2*log(8*Pi))*zeta(1/2))/4, where gamma is Euler's constant (A001620). %e A114875 3.92264613920915172747153144671459951373032397150650... %p A114875 Zeta(1,1/2) ;evalf(%) ; # _R. J. Mathar_, May 03 2021 %t A114875 RealDigits[-Zeta'[1/2], 10, 120][[1]] (* _Amiram Eldar_, Jun 15 2023 *) %o A114875 (PARI) -zeta'(1/2) \\ _Charles R Greathouse IV_, Mar 28 2012 %o A114875 (PARI) -(2*Euler+Pi+2*log(8*Pi))*zeta(1/2)/4 \\ _Charles R Greathouse IV_, Mar 28 2012 %Y A114875 Cf. A001620, A059750. %K A114875 nonn,cons %O A114875 1,1 %A A114875 _Eric W. Weisstein_, Jan 03 2006