mirror of
https://github.com/opelly27/Y-Cruncher.git
synced 2026-05-20 00:38:45 +00:00
opelly27
39 lines
1.1 KiB
INI
39 lines
1.1 KiB
INI
// 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 29, 2018
|
|
//
|
|
// Value: 1.20205690315959428539973816151144999076498629234049...
|
|
//
|
|
// Formula: Amdeberhan-Zeilberger (1997)
|
|
//
|
|
// 1 inf ( (-1)^k (205k^2 + 250k + 77) k!^10 )
|
|
// Zeta(3) = ---- SUM (-----------------------------------)
|
|
// 64 k=0 ( (2k + 1)!^5 )
|
|
//
|
|
// https://arxiv.org/pdf/math/9804121.pdf
|
|
//
|
|
|
|
{
|
|
NameShort : "Zeta(3)"
|
|
NameLong : "Zeta(3) - Apery's Constant"
|
|
AlgorithmShort : "AZ"
|
|
AlgorithmLong : "Amdeberhan-Zeilberger (1997)"
|
|
Formula : {
|
|
SeriesHypergeometric : {
|
|
CoefficientP : 1
|
|
CoefficientQ : 77
|
|
CoefficientD : 64
|
|
PolynomialP : [0 0 0 0 0 77 250 205]
|
|
PolynomialQ : [-32 -320 -1280 -2560 -2560 -1024]
|
|
PolynomialR : [0 0 0 0 0 1]
|
|
}
|
|
}
|
|
}
|