Relations on higher dimensional Padovan sequences

Renata Passos Machado Vieira, Francisco Regis Vieira Alves and Paula Maria Machado Cruz Catarino
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 27, 2021, Number 4, Pages 167–179
DOI: 10.7546/nntdm.2021.27.4.167-179
Full paper (PDF, 187 Kb)

Details

Authors and affiliations

Renata Passos Machado Vieira
Department of Mathematics, Federal Institute of Education, Science and Technology of Ceara´
(IFCE) Fortaleza-CE, Brazil

Francisco Regis Vieira Alves
Department of Mathematics, Federal Institute of Education, Science and Technology of Ceara´
(IFCE) Fortaleza-CE, Brazil

Paula Maria Machado Cruz Catarino
Department of Mathematic, University of Tras-os-Montes and Alto Douro ´
Vila Real, Portugal

Abstract

Many papers developed so far for Padovan sequences properties and its extensions usually follow the one-dimensional approach. The presented work introduces new relations for a higher dimensional sequence, this approach is adopted for two, three and n-dimensional Padovan Sequence. Several mathematical properties are discussed for the first time in the present work.

Keywords

• Relation
• Dimensional
• Padovan sequence
• Recurrent relations
• Two-dimensional.

2020 Mathematics Subject Classification

• 11B37
• 11B39

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