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Questions related to permutations, bijections from a finite (or sometimes infinite) set to itself.
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Conjecture on sum over permutations of products of Catalan numbers
Context
In a recent paper involving entanglement in linear optics, we came across some summations involving Catalan numbers and permutations. … We generate the following table for $\kappa = 0$ in Mathematica by iterating through all permutations. …