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arXiv · 2410.23787

An integral representation of Catalan numbers using the Féaux formula

Jean-Christophe Pain
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Abstract

We present an integral expression of the Catalan numbers, based on Féaux' integral representation of $\log\left[Γ(x)\right]$, $Γ$ being the usual Gamma function. The obtained formula may be the starting point of the derivation of new relations involving central binomial coefficients or Catalan numbers.

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Jean-Christophe Pain. 2024-10-31. An integral representation of Catalan numbers using the Féaux formula. https://arxiv.org/abs/2410.23787

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