The second production matrix of a Riordan array

2020/11/27 by Paul Barry, Barry, Paul
Computer Science · Engineering · Mathematics · #15A21 #15B36 #15B36 11C20 #Advanced Combinatorial Mathematics #Cellular Automata and Applications #Combinatorics (math.CO) #FOS: Mathematics #Primary 11C20 #Secondary 11B83 #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2011.13985

openalex publication_date 2020/11/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A Riordan array is defined by its production matrix. In this paper, we explore the notion of the second production matrix of a Riordan array, characterizing the matrix that is generated by it. We indicate how this procedure can be generalized to the so-called n-th production matrix of a Riordan array.

Citations

• Production Matrices and Riordan Arrays
• The on-line encyclopedia of integer sequences

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• On the partial sums of Riordan arrays
• Multiple almost-Riordan arrays and the multiple almost-Riordan group
• Sequence Characterization of Multiple Almost-Riordan Arrays and Their Compressions
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