Add files via upload

2026-05-20 01:47:34 +00:00 · 2021-11-11 21:34:46 -08:00
parent fa62f789fc
commit c5d13ac48a
100 changed files with 5566 additions and 0 deletions
@@ -0,0 +1,49 @@
+//  y-cruncher Custom Formula File
+//
+//  This can be loaded directly from the Custom Compute menu or
+//  entered from the command line as "custom:filename.cfg".
+//      y-cruncher custom custom:"filename.cfg"
+//
+//
+//    Author:  Alexander J. Yee
+//    Date:    October 4, 2018
+//
+//    Value: 0.91596559417721901505460351493238411077414937428167...
+//
+//    Unknown formula: http://functions.wolfram.com/PDF/Catalan.pdf
+//
+//                      inf (       (2k)!       )    Pi Log(2)
+//    Catalan = sqrt(2) SUM (-------------------) - -----------
+//                      k=0 ( 8^k k!^2 (2k+1)^2 )        4
+//
+
+{
+    NameShort : "Catalan"
+    NameLong : "Catalan's Constant"
+    AlgorithmShort : "LogPi"
+    AlgorithmLong : "Unknown Log-Pi Series"
+    Formula : {
+        LinearCombination : [
+            [2 {Multiply : [
+                    {SeriesHypergeometric : {
+                        CoefficientP : 1
+                        CoefficientQ : 1
+                        CoefficientD : 1
+                        PolynomialP : [-1 2]
+                        PolynomialQ : [0 4 16 16]
+                        PolynomialR : [-1 -2 4 8]
+                    }}
+                    {Invsqrt : 2}
+                ]
+            }]
+            [-1 {Shift : [
+                    {Multiply : [
+                        {Pi : {}}
+                        {Log : 2}
+                    ]}
+                    -2
+                ]
+            }]
+        ]
+    }
+}