Add files via upload

2026-05-20 02:57:34 +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 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]
+        }
+    }
+}