
In the paper, we propose a series of convolution identities for the sequence of Catalan numbers. The proofs of two of them are provided and the other identities are proposed as conjectures. We include a simple Maple code to generate and confirm the identities.
Catalan number, binomial sum, Calculation of integer sequences, Other combinatorial number theory, convolution identity, Factorials, binomial coefficients, combinatorial functions, Combinatorial identities, bijective combinatorics
Catalan number, binomial sum, Calculation of integer sequences, Other combinatorial number theory, convolution identity, Factorials, binomial coefficients, combinatorial functions, Combinatorial identities, bijective combinatorics
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