// 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: Amdeberhan (1996) // // 1 inf ( (-1)^k (56k^2 - 32k + 5) (k - 1)!^3 ) // Zeta(3) = - --- SUM (-------------------------------------) // 4 k=1 ( (2k - 1)^2 (3k)! ) // { NameShort : "Zeta(3)" NameLong : "Zeta(3) - Apery's Constant" AlgorithmShort : "Amdeberhan" AlgorithmLong : "Amdeberhan (1996)" Formula : { SeriesHypergeometric : { CoefficientP : 1 CoefficientQ : 29 CoefficientD : 24 PolynomialP : [0 0 0 29 80 56] PolynomialQ : [-6 -57 -210 -375 -324 -108] PolynomialR : [0 0 0 1 4 4] } } }