On a Central Transform of Integer Sequences

2020/04/09 by Paul Barry, Barry, Paul
Computer Science · Engineering · Mathematics · #11C20 #11Y55 #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Primary 15B36 #Secondary 11B83 #graph theory and CDMA systems #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2004.04577

openalex publication_date 2020/04/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use the concept of the half of a lower-triangular matrix to define a transformation on integer sequences. We explore the properties of this transformation, including in some cases a study of the Hankel transform of the transformed sequences. Starting from simple sequences with elementary rational generating functions, we obtain many sequences of combinatorial significance. We make extensive use of techniques drawn from the theory of Riordan arrays.

Citations

• On the Group of Almost-Riordan Arrays
• The on-line encyclopedia of integer sequences

Related

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