A Historical Analysis of The Padovan Sequence
In the present text, we present some possibilities to formalize the mathematical content and a historical context, referring to a numerical sequence of linear and recurrent form, known as Sequence of Padovan or Cordonnier. Throughout the text some definitions are discussed, the matrix approach and t...
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doaj-6f0ca51fe3c7497daf1adeab482ec2762020-11-25T03:12:40ZengIIES IndependentInternational Journal of Trends in Mathematics Education Research2621-84882020-07-013181210.33122/ijtmer.v3i1.16680A Historical Analysis of The Padovan SequenceRenata Passos Machado Vieira0Francisco Regis Vieira Alves1Paula Maria Machado Cruz Catarino2Departament of Mathematic, IFCEDepartament of Mathematic, IFCEDepartament of Mathematic, Universidade de Trás-os-Montes e Alto Douro, UTADIn the present text, we present some possibilities to formalize the mathematical content and a historical context, referring to a numerical sequence of linear and recurrent form, known as Sequence of Padovan or Cordonnier. Throughout the text some definitions are discussed, the matrix approach and the relation of this sequence with the plastic number. The explicit exploration of the possible paths used to formalize the explored mathematical subject, comes with an epistemological character, still conserving the exploratory intention of these numbers and always taking care of the mathematical rigor approachedhttp://ijtmer.com/index.php/ijtmer/article/view/166padovan sequencegenerating matrixbinet´s formulacharacteristic equation |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Renata Passos Machado Vieira Francisco Regis Vieira Alves Paula Maria Machado Cruz Catarino |
spellingShingle |
Renata Passos Machado Vieira Francisco Regis Vieira Alves Paula Maria Machado Cruz Catarino A Historical Analysis of The Padovan Sequence International Journal of Trends in Mathematics Education Research padovan sequence generating matrix binet´s formula characteristic equation |
author_facet |
Renata Passos Machado Vieira Francisco Regis Vieira Alves Paula Maria Machado Cruz Catarino |
author_sort |
Renata Passos Machado Vieira |
title |
A Historical Analysis of The Padovan Sequence |
title_short |
A Historical Analysis of The Padovan Sequence |
title_full |
A Historical Analysis of The Padovan Sequence |
title_fullStr |
A Historical Analysis of The Padovan Sequence |
title_full_unstemmed |
A Historical Analysis of The Padovan Sequence |
title_sort |
historical analysis of the padovan sequence |
publisher |
IIES Independent |
series |
International Journal of Trends in Mathematics Education Research |
issn |
2621-8488 |
publishDate |
2020-07-01 |
description |
In the present text, we present some possibilities to formalize the mathematical content and a historical context, referring to a numerical sequence of linear and recurrent form, known as Sequence of Padovan or Cordonnier. Throughout the text some definitions are discussed, the matrix approach and the relation of this sequence with the plastic number. The explicit exploration of the possible paths used to formalize the explored mathematical subject, comes with an epistemological character, still conserving the exploratory intention of these numbers and always taking care of the mathematical rigor approached |
topic |
padovan sequence generating matrix binet´s formula characteristic equation |
url |
http://ijtmer.com/index.php/ijtmer/article/view/166 |
work_keys_str_mv |
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