Work

A combinatorial approach to the Perrin polynomial sequence and its generalization

Year: 2026

Type: article

Abstract: The present work approaches the study of a combinatorial interpretation for the Perrin polynomial sequence, aiming at a contribution to the Mathematics teaching area. In view of studies focused on the History of Mathematics containing the teaching of recurring numerical sequences present in textbooks, there is an interest in carrying out a combinatorial approach for a sequence considered to be a cousin of the Fibonacci sequence, which is the Perrin sequence. In this way, we have the definition of Perrin’s polynomial bracelets, investigating Perrin’s polynomial combinatorial model. Finally, combinatorial interpretations for the Perrin polynomial sequence extensions are discussed, generalizing the Perrin polynomial combinatorial model.

Source: C Q D - Revista Eletrônica Paulista de Matemática

DOI: 10.21167/cqdv27e27013

Authors: Renata Passos Machado Vieira, Francisco Regis Vieira Alves

Institutions: Universidade Federal do Ceará, Instituto Federal de Educação, Ciência e Tecnologia do Ceará

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7225614525

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