ON COMBINATORIAL IDENTITIES FOR R-GENERALIZED FIBONACCI SEQUENCES

ON COMBINATORIAL IDENTITIES FOR R-GENERALIZED FIBONACCI SEQUENCES

Auteurs

  • Reginaldo Leoncio Silva Universidade Estadual do Sudoeste da Bahia
  • Elen Viviani Pereira Spreafico

DOI :

https://doi.org/10.34179/revisem.v9i3.21331

Résumé

In this paper, we investigate combinatorial identities for r−generalized Fibonacci sequences. For this purpose, we established a combinatorial fundamental system related to the sequences of r−generalized Fibonacci type, and using the properties of the Casoratian matrix associated we obtain new combinatorial identities. Moreover, some special cases are studied and new general combinatorial identities are provided for these special sequences of numbers.

Keywords: Fundamental System, Properties, Combinatorial Identities.

Téléchargements

Les données relatives au téléchargement ne sont pas encore disponibles.

Téléchargements

Publiée

2024-10-14

Comment citer

Silva, R. L., & Pereira Spreafico, E. V. (2024). ON COMBINATORIAL IDENTITIES FOR R-GENERALIZED FIBONACCI SEQUENCES. Revista Sergipana De Matemática E Educação Matemática, 9(3), 124–135. https://doi.org/10.34179/revisem.v9i3.21331

Numéro

Vol. 9 No 3 (2024): Revista Sergipana de Matemática e Educação Matemática

Rubrique

Matemática

Licence

(c) Tous droits réservés Reginaldo Leoncio Silva, Elen Viviani Pereira Spreafico 2024

Creative Commons License

Ce travail est disponible sous licence Creative Commons Attribution - Pas d’Utilisation Commerciale 4.0 International.

Licença Creative Commons

  Permite remixagem, adaptação e nova criação a partir da obra para fins não comerciais, e que seja atribuído o crédito ao autor (CC BY-NC)