L-Tetromino Tilings and Two-Color Integer Compositions

American Mathematical Monthly 2026

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Authors: Nicolas Bělohoubek, Antonín Slavík
DOI: 10.1080/00029890.2025.2600916
Cited by: 0
References: 13

Abstract

We find recurrent as well as explicit formulas for the number of tilings of a 2n×4 rectangle using L-tetrominoes when only rotation of tiles is allowed. We show that the problem is equivalent to calculating the number of certain two-color integer compositions.

Fields of Study & Subjects

Advanced Combinatorial Mathematics Advanced Mathematical Identities Mathematics and Applications

Publication details

Journal / source
American Mathematical Monthly
Volume
133
Issue
4
Pages
341–351
Publication date
28 January 2026
Language
EN