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A Riordan array family for some integrable lattice models

Published 14 Sep 2024 in math.CO | (2409.09547v1)

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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Authors (1)

  1. Paul Barry 

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