Moreover, we will present a relationship between the Perrin numbers and the Padovan numbers, which will be used to perform the complexity of this sequence.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:This work aims, to perform a complexity in the Perrin sequence, to present the two-dimensional, three-dimensional, and n-dimensional recurrence relations of this sequence.
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Temel Bulgular & Veri:Thus, from the one-dimensional relationship of this sequence, we will discuss the increase of its dimensionality and the insertion of imaginary units in the Perrin sequence, which is a recursive sequence of third order and presents large similarities with the Padovan sequence, differing only its initial values.
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Sonuç & Katkı:Moreover, we will present a relationship between the Perrin numbers and the Padovan numbers, which will be used to perform the complexity of this sequence.
This work aims, to perform a complexity in the Perrin sequence, to present the two-dimensional, three-dimensional, and n-dimensional recurrence relations of this sequence. Thus, from the one-dimensional relationship of this sequence, we will discuss the increase of its dimensionality and the insertion of imaginary units in the Perrin sequence, which is a recursive sequence of third order and presents large similarities with the Padovan sequence, differing only its initial values. Moreover, we will present a relationship between the Perrin numbers and the Padovan numbers, which will be used to perform the complexity of this sequence.
Vieira, R., Mangueira, M., Alves, F. R., Catarino, P. M. M. C. (2021). Perrin n-Dimensional Relations. Fundamental Journal of Mathematics and Applications, Volume: 4 Issue: 2. https://doi.org/10.33401/fujma.874081
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R. R. de. Oliveira, Engenharia didatica sobre o modelo de complexificacao da sequencia generalizada de Fibonacci: Relacoes recorrentes n-dimensionais e representacoes polinomiais e matriciais. Dissertacao de Mestrado Academico do Programa de Pos-graduacao em Ensino de Ciencias e Matematica do Instituto Federal de Educacao, Ciencia e Tecnologia do Ceara - IFCE - Campus Fortaleza, 2018.
R. P. M. Vieira, F. R. V. Alves, P. M. M. C. Catarino, Relacoes bidimensionais e identidades da sequencia de Leonardo, ReviSeM, 4 (2) (2019), 156-173.