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2026-05-20 01:47:34 +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: Wedeniwski (1998)
+//
+//                1  inf ( (-1)^k ((2k + 1)! (2k)! k!)^3 P(k) )
+//    Zeta(3) = ---- SUM (------------------------------------)
+//               24  k=0 (        (3k + 2)! (4k + 3)!^3       )
+//
+//    P(k) = 126392k^5 + 412708k^4 + 531578k^3 + 336367k^2 + 104000k + 12463
+//
+//    http://sites.math.rutgers.edu/~zeilberg/mamarim/mamarimhtml/Zeta3.txt
+//
+
+{
+    NameShort : "Zeta(3)"
+    NameLong : "Zeta(3) - Apery's Constant"
+    AlgorithmShort : "Wedeniwski"
+    AlgorithmLong : "Wedeniwski (1998)"
+    Formula : {
+        SeriesHypergeometric : {
+            CoefficientP : 1
+            CoefficientQ : 12463
+            CoefficientD : 10368
+            PolynomialP : [0 0 0 0 0 -12463 -29222 138077 338328 -427644 -1338144 58480 1784960 1011136]
+            PolynomialQ : [-1296 -26568 -230472 -1102080 -3171456 -5621760 -6002688 -3538944 -884736]
+            PolynomialR : [0 0 0 0 0 -1 6 -12 8]
+        }
+    }
+}