Padovan and Perrin Hybrid Number Identities

Year 2021, Volume: 4 Issue: 4, 190 - 197, 27.12.2021

Renata Vieira , Milena Mangueira , Francisco Regis Alves , Paula Maria Machado Cruz Catarino

https://doi.org/10.33434/cams.964042

Cited By: 1

Abstract

This work investigates the numbers of Padovan and Perrin hybrids. At first, the hybrid numbers, the sequences in the hybrid form, and their matrix forms are ordered as studied sequences. Thus, it was possible to display the negative index hybrids, define some identities belonging to these hybrid sequences, develop novel theorems and present them as binomial sums of the Padovan and Perrin hybrids.

Keywords

Identities, Hybrid numbers, Padovan sequence, Perrin sequence.

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