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opelly27
37 lines
1003 B
INI
37 lines
1003 B
INI
// y-cruncher Custom Formula File
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//
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// This can be loaded directly from the Custom Compute menu or
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// entered from the command line as "custom:filename".
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//
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// y-cruncher custom custom:"constant - algorithm"
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//
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//
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// Author: Alexander J. Yee
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// Date: September 30, 2018
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//
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// Value: 1.20205690315959428539973816151144999076498629234049...
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//
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// Formula: Hjortnaes (1953), rediscovered by Apery (1979)
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//
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// 5 inf ( (-1)^k k!^2 )
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// Zeta(3) = - --- SUM (--------------)
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// 2 k=0 ( (2k)! k^3 )
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//
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{
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NameShort : "Zeta(3)"
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NameLong : "Zeta(3) - Apery's Constant"
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AlgorithmShort : "Hjortnaes"
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AlgorithmLong : "Hjortnaes (1953)"
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Formula : {
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SeriesHypergeometric : {
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CoefficientP : 1
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CoefficientQ : 0
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CoefficientD : 2
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PolynomialP : [-5]
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PolynomialQ : [0 0 2 -4]
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PolynomialR : [0 0 0 1]
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}
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}
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}
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