Add files via upload

2026-05-20 07:37:39 +00:00 · 2021-11-11 21:34:46 -08:00
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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:"constant - algorithm"
+//
+//
+//    Author:  Alexander J. Yee
+//    Date:    September 30, 2018
+//
+//    Value: 1.20205690315959428539973816151144999076498629234049...
+//
+//    Formula: Amdeberhan (1996)
+//
+//                 1  inf ( (-1)^k (56k^2 - 32k + 5) (k - 1)!^3 )
+//    Zeta(3) = - --- SUM (-------------------------------------)
+//                 4  k=1 (          (2k - 1)^2 (3k)!           )
+//
+
+{
+    NameShort : "Zeta(3)"
+    NameLong : "Zeta(3) - Apery's Constant"
+    AlgorithmShort : "Amdeberhan"
+    AlgorithmLong : "Amdeberhan (1996)"
+    Formula : {
+        SeriesHypergeometric : {
+            CoefficientP : 1
+            CoefficientQ : 29
+            CoefficientD : 24
+            PolynomialP : [0 0 0 29 80 56]
+            PolynomialQ : [-6 -57 -210 -375 -324 -108]
+            PolynomialR : [0 0 0 1 4 4]
+        }
+    }
+}