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A Riordan array family for some integrable lattice models

2024/09/14 by Paul Barry, Barry, Paul
Biochemistry, Genetics and Molecular Biology · Medicine · Physics and Astronomy · #Connective tissue disorders research #Glaucoma and retinal disorders #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2409.09547

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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