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The Hessenberg matrices and Catalan and its generalized numbers (1810.09170v1)

Published 22 Oct 2018 in math.CO

Abstract: We present determinantal representations of the Catalan numbers, k-Fuss-Catalan numbers, and its generalized number. The entries of the normalized Hessenberg matrices are the binomial coefficients that related with the enumeration of lattice paths.

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