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

Authors : Renata Vieira, Elen Viviani Pereira Spreafico, Francisco Regis Alves, Paula Maria Machado Cruz Catarino

Pages : 1-11

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Publication Date : 2024-01-31

Article Type : Other

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 : Combinatorics, Perrin sequence, Polynomial sequence