Diagonals in Riordan matrices and applications
Combinatorics
2026-02-17 v1
Abstract
We introduce a method for describing Riordan matrices via recurrence relations along their diagonals. This provides a new structural description that complements the classical row-wise and column-wise constructions via the A-sequence. As an application, we characterize families of palindromic Riordan polynomials, yielding a new combinatorial interpretation in terms of lattice paths.
Cite
@article{arxiv.2602.14822,
title = {Diagonals in Riordan matrices and applications},
author = {Gi-Sang Cheon and Ana Luzón and Manuel A. Morón and José L. Ramírez},
journal= {arXiv preprint arXiv:2602.14822},
year = {2026}
}