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 A215722 #21 Nov 01 2024 02:09:27 %S A215722 2,3,7,8,5,6,2,9,5,8,8,6,8,0,5,5,0,6,7,4,2,9,6,2,3,6,3,0,8,0,2,3,3,3, %T A215722 9,4,7,9,6,3,7,0,1,2,5,5,2,3,5,2,2,3,9,5,4,4,6,5,2,1,4,2,8,0,8,5,1,8, %U A215722 5,6,2,4,6,6,3,3,9,3,2,7,9,9,1,3,7,1,1,2,1,7,8,7,9,8,3,7,5,2,3,8,3,7,7,2,9,5,5,5,3,4,0,9 %N A215722 Decimal expansion of Pi*(3 - gamma)/32, where gamma is Euler's constant A001620. %C A215722 Volchkov shows that this is equal to integral(t=0..oo, (1-12*t^2)/(1+4*t^2)^3) * integral(s=1/2..oo, log |zeta(s + i*t)|) if and only if the Riemann hypothesis holds. %D A215722 Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 1.6.2, p. 42. %H A215722 G. C. Greubel, <a href="/A215722/b215722.txt">Table of n, a(n) for n = 0..10000</a> %H A215722 V. V. Volchkov, <a href="https://doi.org/10.1007/BF01056314">On an equality equivalent to the Riemann hypothesis</a>, Ukrainian Mathematical Journal 47:3 (1995), pp. 491-493. %e A215722 0.237856295886805506742962363080233394796370125523522395446521428085... %t A215722 RealDigits[Pi*(3 - EulerGamma)/32, 10, 100][[1]] (* _G. C. Greubel_, Aug 27 2018 *) %o A215722 (PARI) Pi*(3-Euler)/32 %o A215722 (Magma) R:= RealField(100); Pi(R)*(3 - EulerGamma(R))/32; // _G. C. Greubel_, Aug 27 2018 %K A215722 nonn,cons %O A215722 0,1 %A A215722 _Charles R Greathouse IV_, Aug 22 2012