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arXiv · 2602.14822

Diagonals in Riordan matrices and applications

Gi-Sang Cheon·Ana Luzón·Manuel A. Morón·José L. Ramírez
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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.

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Gi-Sang Cheon, Ana Luzón, Manuel A. Morón, José L. Ramírez. 2026-02-16. Diagonals in Riordan matrices and applications. https://arxiv.org/abs/2602.14822

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