A Riordan array family for some integrable lattice models
Combinatorics
2024-09-17 v1
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.
Cite
@article{arxiv.2409.09547,
title = {A Riordan array family for some integrable lattice models},
author = {Paul Barry},
journal= {arXiv preprint arXiv:2409.09547},
year = {2024}
}
Comments
9 pages