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 A348371 #13 Oct 16 2021 06:13:21 %S A348371 1,0,3,9,2,8,0,4,9,6,7,9,4,8,7,6,2,2,0,0,6,0,2,5,2,6,2,0,1,0,3,5,6,6, %T A348371 4,4,0,8,6,6,0,1,1,2,1,3,3,0,1,1,1,0,4,9,7,3,5,4,8,9,4,9,6,9,9,7,2,4, %U A348371 6,6,1,4,4,2,2,6,8,1,9,2,4,3,0,9,2,6,7,9,9,1,9,8,0,2,7,0,5,3,6,7,3,6,7,8,8 %N A348371 Decimal expansion of Sum_{k>=0} binomial(2*k,k)^2/(16^k*(k+1)^3). %H A348371 Pablo Fernandez Refolio, <a href="https://doi.org/10.1080/00029890.2019.1547601">Problem 12094</a>, The American Mathematical Monthly, Vol. 126, No. 2 (2019), p. 180; <a href="https://doi.org/10.1080/00029890.2020.1792243">Catalan's Constant from Catalan Numbers</a>, Solution to Problem 12094 by Roberto Tauraso, ibid., Vol. 127, No. 8 (2020), pp. 755-757. %F A348371 Equals 48/Pi - 16*(1 - log(2)) - 32*G/Pi, where G is Catalan's constant (A006752). %F A348371 Equals 4F3(1/2, 1/2, 1, 1; 2, 2, 2; 1), where pFq() is the generalized hypergeometric function. %e A348371 1.03928049679487622006025262010356644086601121330111... %t A348371 RealDigits[48/Pi - 16*(1 - Log[2]) - 32*Catalan/Pi, 10, 100][[1]] %Y A348371 Cf. A000984, A006752, A143233, A244009. %K A348371 nonn,cons %O A348371 1,3 %A A348371 _Amiram Eldar_, Oct 15 2021