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arXiv · 2409.09547

A Riordan array family for some integrable lattice models

Paul Barry
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Abstract

We study a family of Riordan arrays whose square symmetrizations lead to the Robbins numbers as well as numbers associated to the $20$ vertex model. We provide closed-form expressions for the elements of these arrays, and also give a canonical Catalan factorization for them. We describe a related family of Riordan arrays whose symmetrizations also lead to the same integer sequences.

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Paul Barry. 2024-09-14. A Riordan array family for some integrable lattice models. https://arxiv.org/abs/2409.09547

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