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arXiv · 2606.13158

On the Counting Sequence of Z-convex Polyominoes

Luca Castelli·Paolo Massazza
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Abstract

The degree of convexity of a convex polyomino P is the smallest integer k such that any two cells of P can be joined by a monotone path inside P with at most k changes of direction. In this paper, we present a set of formulas and equations that are the basis of a C++ program that allows you to compute the longest counting sequence known to date (with respect to the area) of convex polyominoes of degree of convexity at most 2

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Luca Castelli, Paolo Massazza. 2026-06-11. On the Counting Sequence of Z-convex Polyominoes. https://doi.org/10.4204/eptcs.445.8

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