Padovan and Perrin Hybrid Number Identities

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 seq...

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Bibliographic Details
Published in:Communications in Advanced Mathematical Sciences 2021-12, Vol.4 (4), p.190-197
Main Authors: VİEİRA, Renata, MANGUEİRA, Milena, ALVES, Francisco Regis, CRUZ CATARİNO, Paula Maria Machado
Format: Article
Language:English
Subjects:
hybrid numbers
identities
padovan sequence
perrin sequence
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Summary: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.
ISSN:2651-4001
2651-4001
DOI:10.33434/cams.964042