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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…
math.CO2026
On the cycle structure of the symmetric tensor power of permutations
Sebastian Caballero, Diego Villamizar
Problem 8.1 in Astaiza et. al. asks about the relationship between the cycle decomposition of a permutation and that of its symmetric tensor power . In this paper,…