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 A359533 #13 Jan 25 2023 02:26:23 %S A359533 2,7,6,4,2,7,2,0,4,2,4,5,9,8,6,5,7,3,0,9,2,6,3,9,8,2,5,6,1,6,8,8,9,9, %T A359533 4,6,7,8,3,7,4,0,7,9,5,1,9,0,4,8,5,0,6,3,0,3,2,7,7,6,9,2,0,2,7,0,3,3, %U A359533 7,9,6,9,4,4,5,8,9,8,7,9,7,1,0,9,8,0,1 %N A359533 Decimal expansion of Sum_{k>=0} (-1/64)^k*binomial(2*k, k)^3*(4*k + 1)*H_k, where H_k is the k-th harmonic number (negated). %H A359533 John M. Campbell, <a href="https://arxiv.org/abs/2212.13305">Applications of a class of transformations of complex sequences</a>, arXiv:2212.13305 [math.NT], 2022. See p. 6. %F A359533 Equals 4*log(2)/Pi - (Gamma(1/8)*Gamma(3/8)/(Gamma(1/4)*Gamma(3/4)))^2/(6*sqrt(2)*Pi). %F A359533 Equals 4*log(2)/Pi - (Gamma(1/8)*Gamma(3/8))^2/(12*sqrt(2)*Pi^3). %e A359533 0.276427204245986573092639825616889946783740795... %t A359533 First[RealDigits[N[(Gamma[1/8]Gamma[3/8]/(Gamma[1/4]Gamma[3/4]))^2/(6Sqrt[2]Pi)-4Log[2]/Pi,100]]] %Y A359533 Cf. A000796, A001008, A002805, A002897, A016639, A016813, A063448, A068465, A068466, A091925, A203142, A203143. %Y A359533 Cf. A359532. %K A359533 nonn,cons %O A359533 0,1 %A A359533 _Stefano Spezia_, Jan 04 2023