Erratum

A NOTE OF THE COMBINATORIAL INTERPRETATION OF THE PERRIN AND TETRARRIN SEQUENCE

Volume: 7 Number: 1 January 31, 2024
EN

A NOTE OF THE COMBINATORIAL INTERPRETATION OF THE PERRIN AND TETRARRIN SEQUENCE

The original article was published on May 7, 2026. https://dergipark.org.tr/en/pub/jum/article/1372291

Erratum Note

One figure corrected

Abstract

The present study carries out an investigation around the Perrin and Tetrarrin numbers, allowing a combinatorial interpretation for these sequences. Furthermore, it is possible to establish a study around the respective polynomial numbers of Perrin and Tetrarrin, using the bracelet method. With this, we have the definition of combinatorial models of these numbers, contributing to the evolution of these sequences with their respective combinatorial approaches. As a conclusion, there is a discussion of theorems referring to the combinatorial models of these sequences, allowing the study of the mathematical advancement of these numbers.

Keywords

References

  1. A. T. Benjamin, J. J. Quinn, Proofs the Realy Count: The art of Cominatorial Proof, American Mathematical Society (2003).
  2. A. T. Benjamin, J. J. Quinn, The Fibonacci numbers-exposed more discretely, Math. Magazine, Vol.76, No.3, pp.182-192 (2003).
  3. D. Garth, D. Mills, P. Mitchell, Polynomials Generated by the Fibonacci Sequence.\textbf{Journal of Integer Sequences}, v. 10, p. 1-12, 2007.
  4. T. Koshy, Fibonacci and Lucas numbers with applications, Second edition, New York: Wiley-Interscience (2019).
  5. E. V. P. Spreafico, Novas identidades envolvendo os numeros de Fibonacci, Lucas e Jacobsthal via ladrilhamentos, Doutorado em Matemática Aplicada, Universidade Estadual de Campinas - IME (2014).
  6. I. Stewart, Tales of a neglected number, Scientific American, v. 274, p. 102-103, 1996.
  7. S. J. Tedford, Combinatorial identities for the Padovan numbers, Fibonaccy Quarterly, Vol.57, No.4, pp.291-298 (2019).
  8. R. P. M. Vieira, F. R. V. Alves, Propriedades das extensoes da Sequencia de Padovan, Revista Eletronica Paulista de Matematica, Vol.15, pp.24-40 (2019).

Details

Primary Language

English

Subjects

Algebra and Number Theory, Combinatorics and Discrete Mathematics (Excl. Physical Combinatorics), Pure Mathematics (Other)

Journal Section

Erratum

Publication Date

January 31, 2024

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2024 Volume: 7 Number: 1

APA
Vieira, R., Pereira Spreafico, E. V., Alves, F. R., & Catarino, P. M. M. C. (2024). A NOTE OF THE COMBINATORIAL INTERPRETATION OF THE PERRIN AND TETRARRIN SEQUENCE. Journal of Universal Mathematics, 7(1), 1-11. https://doi.org/10.33773/jum.1372291
AMA
1.Vieira R, Pereira Spreafico EV, Alves FR, Catarino PMMC. A NOTE OF THE COMBINATORIAL INTERPRETATION OF THE PERRIN AND TETRARRIN SEQUENCE. JUM. 2024;7(1):1-11. doi:10.33773/jum.1372291
Chicago
Vieira, Renata, Elen Viviani Pereira Spreafico, Francisco Regis Alves, and Paula Maria Machado Cruz Catarino. 2024. “A NOTE OF THE COMBINATORIAL INTERPRETATION OF THE PERRIN AND TETRARRIN SEQUENCE”. Journal of Universal Mathematics 7 (1): 1-11. https://doi.org/10.33773/jum.1372291.
EndNote
Vieira R, Pereira Spreafico EV, Alves FR, Catarino PMMC (January 1, 2024) A NOTE OF THE COMBINATORIAL INTERPRETATION OF THE PERRIN AND TETRARRIN SEQUENCE. Journal of Universal Mathematics 7 1 1–11.
IEEE
[1]R. Vieira, E. V. Pereira Spreafico, F. R. Alves, and P. M. M. C. Catarino, “A NOTE OF THE COMBINATORIAL INTERPRETATION OF THE PERRIN AND TETRARRIN SEQUENCE”, JUM, vol. 7, no. 1, pp. 1–11, Jan. 2024, doi: 10.33773/jum.1372291.
ISNAD
Vieira, Renata - Pereira Spreafico, Elen Viviani - Alves, Francisco Regis - Catarino, Paula Maria Machado Cruz. “A NOTE OF THE COMBINATORIAL INTERPRETATION OF THE PERRIN AND TETRARRIN SEQUENCE”. Journal of Universal Mathematics 7/1 (January 1, 2024): 1-11. https://doi.org/10.33773/jum.1372291.
JAMA
1.Vieira R, Pereira Spreafico EV, Alves FR, Catarino PMMC. A NOTE OF THE COMBINATORIAL INTERPRETATION OF THE PERRIN AND TETRARRIN SEQUENCE. JUM. 2024;7:1–11.
MLA
Vieira, Renata, et al. “A NOTE OF THE COMBINATORIAL INTERPRETATION OF THE PERRIN AND TETRARRIN SEQUENCE”. Journal of Universal Mathematics, vol. 7, no. 1, Jan. 2024, pp. 1-11, doi:10.33773/jum.1372291.
Vancouver
1.Renata Vieira, Elen Viviani Pereira Spreafico, Francisco Regis Alves, Paula Maria Machado Cruz Catarino. A NOTE OF THE COMBINATORIAL INTERPRETATION OF THE PERRIN AND TETRARRIN SEQUENCE. JUM. 2024 Jan. 1;7(1):1-11. doi:10.33773/jum.1372291