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 A244844 #17 Feb 16 2025 08:33:23 %S A244844 9,5,5,9,3,3,8,3,7,0,0,5,5,7,0,3,4,5,1,5,8,7,2,2,5,6,3,3,9,5,8,1,5,4, %T A244844 2,9,9,1,6,4,2,4,1,6,1,2,6,7,8,4,5,7,5,3,8,1,6,4,3,1,5,7,6,5,8,5,3,9, %U A244844 9,9,1,6,4,1,5,5,9,5,8,3,8,1,6,4,2,4,2,0,3,3,8,6,6,3,8,0,2,2,3,4,1,7,2,6 %N A244844 Decimal expansion of 2F1(1, 1/4; 5/4; -1/4), where 2F1 is a Gaussian hypergeometric function. %C A244844 This constant is mentioned by Bailey & Borwein as an example of the use of the PSLQ integer relation algorithm to discover new formulas. %H A244844 D. H. Bailey and J. M. Borwein, <a href="https://www.carmamaths.org/resources/jon/ontology.pdf">Experimental computation as an ontological game changer</a>, 2014, p. 14. %H A244844 Eric Weisstein's MathWorld, <a href="https://mathworld.wolfram.com/HypergeometricFunction.html">Hypergeometric Function</a>. %H A244844 Eric Weisstein's MathWorld, <a href="https://mathworld.wolfram.com/PSLQAlgorithm.html">PSLQ Algorithm</a>. %F A244844 4*2F1(1, 1/4; 5/4; -1/4) + 2*arctan(1/2) - log(5) = Pi. %e A244844 0.9559338370055703451587225633958154299164241612678457538164315765853999... %t A244844 Hypergeometric2F1[1, 1/4, 5/4, -1/4] // RealDigits[#, 10, 104]& // First %K A244844 cons,nonn %O A244844 0,1 %A A244844 _Jean-François Alcover_, Jul 07 2014