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Zeta(3) - Zuniga (2023-v).cfg
43 lines (41 loc) · 2.14 KB
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Zeta(3) - Zuniga (2023-v).cfg
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// 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 15, 2023
//
// Value: 1.20205690315959428539973816151144999076...
//
// 1 inf ( P(k) )
// zeta(3) = --- SUM (----------------------------------------------------------------------------------------------------)
// 24 k=1 ( k^5 (2k-1)(3k-1)(3k-2)(4k-1)(4k-3)(5k-1)(5k-2)(5k-3)(5k-4) ( 3k ) ( 6k ) ( 8k ) ( 9k ) ( 10k ) )
// (----) (----) (----) (----) (-----)
// ( k ) ( 3k ) ( 4k ) ( 3k ) ( 5k )
//
//
// P(k) = 250765325100000*k^11 - 1087318449630000*k^10 + 2067749814046250*k^9 - 2269551612681475*k^8 + 1592180015776565*k^7 - 746938801646725*k^6 + 238210943593421*k^5
// - 51452348050672*k^4 + 7352050259484*k^3 - 660416507568*k^2 + 33552610560*k - 731566080
//
// Cost = 2.3070
//
{
NameShort : "Zeta(3)"
NameLong : "Zeta(3) - Apery's Constant"
AlgorithmShort : "Zuniga (2023-v)"
AlgorithmLong : "Zuniga (2023-v)"
Formula : {
SeriesHypergeometric : {
CoefficientP : 1
CoefficientQ : 0
CoefficientD : 24
PolynomialP : [-731566080 33552610560 -660416507568 7352050259484 -51452348050672 238210943593421 -746938801646725 1592180015776565 -2269551612681475 2067749814046250 -1087318449630000 250765325100000]
PolynomialQ : [12802406400 -630432149760 13590158605632 -169967769553440 1380005039193120 -7717502762246880 30768648371584416 -89184794625884160 189572636957863680 -295108898940725760 332261656920433152 -263138155905024000 138938211753984000 -43883931893760000 6269133127680000]
PolynomialR : [0 0 0 0 0 -144 3204 -30704 166531 -564155 1239787 -1770125 1585750 -810000 180000]
}
}
}