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math.CO2026
Fibonacci Polyominoes: Refined Enumeration and Dyck-Path Bijections
Jean-Luc Baril, José L. Ramírez, Samuel Ramírez
We study Fibonacci polyominoes, a class of column-convex polyominoes whose lower boundary is a staircase path made of unit horizontal and vertical steps. We derive generating funct…
cs.DM2026
Fibonacci and Catalan Numbers Meet in Staircase Polyominoes
Jean-Luc Baril, José Luis Ramírez, Samuel Ramírez +1
We study Fibonacci (staircase) polyominoes, a class of column-convex polyominoes whose lower boundary is a staircase with unit vertical steps. We derive multivariate generating fun…