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    Author(s)

    Renata Passos Machado Vieira, PhD. Francisco Regis Vieira Alves — Academia (Universities, Colleges and other higher learning entities) (Federal Institute of Science and Technology Education of the State of Ceará), PhD. Paula Maria Machado Cruz Catarino — Academia (Universities, Colleges and other higher learning entities) (University of Trás-os-Montes and Alto Douro)
    Category: Mathematics
    DOI: 10.52737/18291163-2023.15.11-1-9
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      A Combinatorial Interpretation of the Padovan Generalized Polynomial Sequence

      Renata Passos Machado Vieira, PhD. Francisco Regis Vieira Alves — Academia (Universities, Colleges and other higher learning entities) (Federal Institute of Science and Technology Education of the State of Ceará), PhD. Paula Maria Machado Cruz Catarino — Academia (Universities, Colleges and other higher learning entities) (University of Trás-os-Montes and Alto Douro)
      This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

      Submitted: 2024-12-03; Published: 2023-11-28
      © 2026 by author(s) and The Gufo Inc.
      CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

      Abstract

      We investigate a combinatorial interpretation of the Padovan polynomial sequence, also addressing its polynomial extensions. We thus include the Tridovan polynomial sequence, Tetradovan polynomial sequences, leading up to the Z-dovan polynomial generalization.

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