A generalization of Fibonacci sequence

Abstract We attempt to generalize Fibonacci sequence by generating certain number of sequences whose terms are obtained by adding the last two generated terms of the preceding sequence. When we consider the particular case of generating only one sequence we obtain the Fibonacci sequence. Moreover we...

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Autores principales:	Kumar Paul,Neeraj, Saikia,Helen K.
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2020
Materias:	Fibonacci sequence
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000601393
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spelling	oai:scielo:S0716-091720200006013932020-12-02A generalization of Fibonacci sequenceKumar Paul,NeerajSaikia,Helen K. Fibonacci sequence Abstract We attempt to generalize Fibonacci sequence by generating certain number of sequences whose terms are obtained by adding the last two generated terms of the preceding sequence. When we consider the particular case of generating only one sequence we obtain the Fibonacci sequence. Moreover we prove some of the results which can be seen as generalized form of the results which hold for Fibonacci se- quence. We also verify the results for the particular case of Fibonacci sequence.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.39 n.6 20202020-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000601393en10.22199/issn.0717-6279-2020-06-0085
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Fibonacci sequence
spellingShingle	Fibonacci sequence Kumar Paul,Neeraj Saikia,Helen K. A generalization of Fibonacci sequence
description	Abstract We attempt to generalize Fibonacci sequence by generating certain number of sequences whose terms are obtained by adding the last two generated terms of the preceding sequence. When we consider the particular case of generating only one sequence we obtain the Fibonacci sequence. Moreover we prove some of the results which can be seen as generalized form of the results which hold for Fibonacci se- quence. We also verify the results for the particular case of Fibonacci sequence.
author	Kumar Paul,Neeraj Saikia,Helen K.
author_facet	Kumar Paul,Neeraj Saikia,Helen K.
author_sort	Kumar Paul,Neeraj
title	A generalization of Fibonacci sequence
title_short	A generalization of Fibonacci sequence
title_full	A generalization of Fibonacci sequence
title_fullStr	A generalization of Fibonacci sequence
title_full_unstemmed	A generalization of Fibonacci sequence
title_sort	generalization of fibonacci sequence
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2020
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000601393
work_keys_str_mv	AT kumarpaulneeraj ageneralizationoffibonaccisequence AT saikiahelenk ageneralizationoffibonaccisequence AT kumarpaulneeraj generalizationoffibonaccisequence AT saikiahelenk generalizationoffibonaccisequence
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A generalization of Fibonacci sequence

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