English

Counting Polyominoes in a Rectangle b x h

Discrete Mathematics 2024-06-25 v1 Formal Languages and Automata Theory

Abstract

In this paper, we provide methods to automatically obtain automata that generate polyominoes inscribed in a rectangle of fixed width and increasing height. We use them to obtain the generating function of those sequences for small widths.

Cite

@article{arxiv.2406.16413,
  title  = {Counting Polyominoes in a Rectangle b x h},
  author = {Louis Marin},
  journal= {arXiv preprint arXiv:2406.16413},
  year   = {2024}
}

Comments

In Proceedings GASCom 2024, arXiv:2406.14588

R2 v1 2026-06-28T17:16:55.562Z