Perrin n-Dimensional Relations

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Fundamental Journal of Mathematics and Applications
Volume:4 Issue:2
Perrin n-Dimensional Relations

Perrin n-Dimensional Relations

Authors : Renata VİEİRA, Milena MANGUEİRA, Francisco Regis ALVES, Paula Maria Machado CRUZ CATARİNO

Pages : 100-109

Doi:10.33401/fujma.874081

View : 18 | Download : 11

Publication Date : 2021-06-01

Article Type : Research Paper

Abstract :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.
Keywords : n dimensional relations, Perrin sequence, Three dimensional relations, Two dimensional relations

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