Zeta(3) - Zuniga (2023-i).cfg

//  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:"filename.cfg"
//
//
//    Author:  Jorge Zuniga
//    Date:    September 6, 2023
//
//    Value: 1.20205690315959428539973816151144999076...
//
//               1  inf (              (-1)^(k-1) P(k)                                                   )
//    zeta(3) = --- SUM (--------------------------------------------------------------------------------)
//               48 k=1 (   k^5 (2k-1)^3 (3k-1)(3k-2)(4k-1)(4k-3) ( 4k ) ( 5k ) ( 5k ) ( 6k ) ( 6k )     )
//                                                                (----) (----) (----) (----) (----)
//                                                                ( 2k ) (  k ) ( 2k ) ( 2k ) ( 3k )
//
//
//    P(k) =  5424107472*k^9 - 19039724352*k^8 + 28594402184*k^7 - 24074848580*k^6 + 12506475957*k^5 - 4154339869*k^4 + 882637570*k^3 - 115819566*k^2 + 8536500*k - 270000 
//
//    Cost = 2.8885
//

{
    NameShort : "Zeta(3)"
    NameLong : "Zeta(3) - Apery's Constant"
    AlgorithmShort : "Zuniga (2023-i)"
    AlgorithmLong : "Zuniga (2023-i)"
    Formula : {
        SeriesHypergeometric : {
            CoefficientP : 1
            CoefficientQ : 0
            CoefficientD : 24
            PolynomialP : [-270000 8536500 -115819566 882637570 -4154339869 12506475957 -24074848580 28594402184 -19039724352 5424107472]
            PolynomialQ : [1080000 -38052000 591476700 -5356686900 31463859075 -126315075000 355793493750 -709674937500 996910921875 -963984375000 610453125000 -227812500000 37968750000]
            PolynomialR : [0 0 0 0 0 12 -190 1258 -4524 9560 -11888 8064 -2304]
        }
    }
}