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opelly27
37 lines
1.1 KiB
INI
37 lines
1.1 KiB
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: Amdeberhan (1996)
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//
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// 1 inf ( (-1)^k (56k^2 - 32k + 5) (k - 1)!^3 )
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// Zeta(3) = - --- SUM (-------------------------------------)
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// 4 k=1 ( (2k - 1)^2 (3k)! )
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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 : "Amdeberhan"
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AlgorithmLong : "Amdeberhan (1996)"
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Formula : {
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SeriesHypergeometric : {
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CoefficientP : 1
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CoefficientQ : 29
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CoefficientD : 24
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PolynomialP : [0 0 0 29 80 56]
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PolynomialQ : [-6 -57 -210 -375 -324 -108]
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PolynomialR : [0 0 0 1 4 4]
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}
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}
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}
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