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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.cfg".
// y-cruncher custom custom:"filename.cfg"
//
//
// Author: Oliver Kruse // DSG
// Date: October 30, 2019
//
// Value = 1.03692775514336992633136548645703416805708091950191...
//
// Formula: Bailey, Borwein and Plouffe (1998), [Kruse (2019)]
// https://www.davidhbailey.com/dhbpapers/digits.pdf
//
// Formula optimized by Alex Yee (2019).
//
{
NameShort : "Zeta(5)"
NameLong : "Zeta(5)"
AlgorithmShort : "BBP-Kruse"
AlgorithmLong : "BBP (1998), Kruse (2019)"
Formula : {
Divide : [
{LinearCombination : [
[-1 {SeriesBinaryBBP : {
Power : 1
CoefficientP : 1
CoefficientQ : 0
CoefficientD : 1
Alternating : "false"
PowerCoef : -6
PowerShift : 0
PolynomialP : [5]
PolynomialQ : [0 0 0 0 0 1]
}}]
[-1 {SeriesBinaryBBP : {
Power : 1
CoefficientP : 1
CoefficientQ : 0
CoefficientD : 1
Alternating : "false"
PowerCoef : -6
PowerShift : 8
PolynomialP : [23]
PolynomialQ : [-1 10 -40 80 -80 32]
}}]
[-1 {SeriesBinaryBBP : {
Power : 1
CoefficientP : 1
CoefficientQ : 0
CoefficientD : 1
Alternating : "false"
PowerCoef : -6
PowerShift : 7
PolynomialP : [243]
PolynomialQ : [-1 15 -90 270 -405 243]
}}]
[-1 {SeriesBinaryBBP : {
Power : 1
CoefficientP : 1
CoefficientQ : 0
CoefficientD : 1
Alternating : "false"
PowerCoef : -6
PowerShift : 9
PolynomialP : [243]
PolynomialQ : [-32 240 -720 1080 -810 243]
}}]
[1 {SeriesBinaryBBP : {
Power : 1
CoefficientP : 1
CoefficientQ : 0
CoefficientD : 1
Alternating : "false"
PowerCoef : -6
PowerShift : 8
PolynomialP : [243]
PolynomialQ : [-1 30 -360 2160 -6480 7776]
}}]
[1 {SeriesBinaryBBP : {
Power : 1
CoefficientP : 1
CoefficientQ : 0
CoefficientD : 1
Alternating : "false"
PowerCoef : -6
PowerShift : 12
PolynomialP : [243]
PolynomialQ : [-3125 18750 -45000 54000 -32400 7776]
}}]
[1 {Scope : {
Locals : [
{ log1 : {Log : 2}}
{ log2 : {Power : ["log1" 2]}}
]
Formula : {
Multiply : [
{LinearCombination : [
[1 {Power : [
{LinearCombination : [
[12 {Power : [{Pi : {}} 2]}]
[-9 "log2"]
]}
2
]}]
[243 {Power : ["log2" 2]}]
]}
"log1"
]
}
}}]
]}
21762
]
}
}
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