The Hessenberg matrices and Catalan and its generalized numbers

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.

arXiv comment8 pages

Cited by in corpus (1)

• Some observations about determinants which are connected with Catalan numbers and related topics