On Catalan Constant Continued Fractions

10/30/2022

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by   David Naccache, et al.

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The Ramanujan Machine project detects new expressions related to constants of interest, such as ζ function values, γ and algebraic numbers (to name a few). In particular the project lists a number of conjectures concerning the Catalan constant G= 0.91596559… We show how to generate infinitely many. We used an ad hoc software toolchain and rather tedious mathematical developments. Because we do not provide a proper peer-reviewed proof of the relations given here we do not claim them to be theorems.