English

The Hessenberg matrices and Catalan and its generalized numbers

Combinatorics 2018-10-23 v1

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.

Keywords

Cite

@article{arxiv.1810.09170,
  title  = {The Hessenberg matrices and Catalan and its generalized numbers},
  author = {Jishe Feng},
  journal= {arXiv preprint arXiv:1810.09170},
  year   = {2018}
}

Comments

8 pages

R2 v1 2026-06-23T04:47:59.716Z