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Thirty-Three Representations of Catalan's Constant
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| Organization: | Carnegie-Mellon University |
| Department: | Computer Science |
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Catalan's constant a is a numerical constant (called Catalan in Mathematica) that appears in many combinatorial and analytic settings. This notebook presents thirty-three integral and series representations of Catalan's constant, some of them new. For each representation, a proof is given, accessible by pressing the proof button. Often the proof consists of simply evaluating the representation directly in Mathematica. In other cases, explicit symbolic manipulation in Mathematica is needed to develop a proof.
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Catalan's constant, Catalan, formula
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| CatalanFormulas.nb (121.5 KB) - Mathematica Notebook |
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