A Note on Riordan Arrays with Catalan Halves

2019/12/02 by Paul Barry, Barry, Paul
Computer Science · Engineering · Mathematics · #11C20 #Advanced Combinatorial Mathematics #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Primary 15B36 #Secondary 11B83 #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1912.01124

openalex publication_date 2019/12/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a lower triangular matrix (t_n,k) we call the matrices with respective entries (t_2n-k,n) and (t_2n,n+k) the vertical and the horizontal halves. In this note, we discuss Riordan arrays whose halves are closely related to the Catalan matrices.

Citations

• The on-line encyclopedia of integer sequences

Related

• On the halves of a Riordan array and their antecedents
• The Vertical Recursive Relation of Riordan Arrays and Their Matrix Representation
• On the r-shifted central triangles of a Riordan array
• On the partial sums of Riordan arrays
• On Some Alternative Characterizations of Riordan Arrays