A Riordan array family for some integrable lattice models
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 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.
9 pages