// y-cruncher Custom Formula File // // This can be loaded directly from the Custom Compute menu or // entered from the command line as "custom:filename". // // y-cruncher custom custom:"constant - algorithm" // // // Author: Alexander J. Yee // Date: September 30, 2018 // // Value: 1.20205690315959428539973816151144999076498629234049... // // Formula: Hjortnaes (1953), rediscovered by Apery (1979) // // 5 inf ( (-1)^k k!^2 ) // Zeta(3) = - --- SUM (--------------) // 2 k=0 ( (2k)! k^3 ) // { NameShort : "Zeta(3)" NameLong : "Zeta(3) - Apery's Constant" AlgorithmShort : "Hjortnaes" AlgorithmLong : "Hjortnaes (1953)" Formula : { SeriesHypergeometric : { CoefficientP : 1 CoefficientQ : 0 CoefficientD : 2 PolynomialP : [-5] PolynomialQ : [0 0 2 -4] PolynomialR : [0 0 0 1] } } }