On the \(r\)-central coefficient matrices of the Catalan triangles

DOI10.1155/2015/209045zbMath1334.05009OpenAlexW2018984218WikidataQ59103184 ScholiaQ59103184MaRDI QIDQ275655

Sheng-Liang Yang, Juan Yin

Publication date: 26 April 2016

Published in: Journal of Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/209045

zbMATH Keywords

Lagrange inversion formulaRiordan array

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• Unnamed Item
• The uplift principle for ordered trees
• Identities induced by Riordan arrays
• Lagrange inversion: when and how
• An identity of Andrews and a new method for the Riordan array proof of combinatorial identities
• Sequence characterization of Riordan arrays
• A Catalan triangle
• Addition formulas for polynomials built on classical combinatorial sequences
• Enumeration via ballot numbers

This page was built for publication: On the \(r\)-central coefficient matrices of the Catalan triangles