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Generating matrix and sums of Fibonacci and Pell sequences

In this paper, we study the Fibonacci sequence and Pell sequence and developed generating matrices for them. First we proved two results on the even sum of the Fibonacci sequence and the Pell sequence, using the generating matrix approach. We then deduce the odd sums, some identities and recursive f...

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Main Authors: Ho C.K., Woon H.S., Chong C.-Y.
Other Authors: 7404653303
Format: Conference Paper
Published: American Institute of Physics Inc. 2023
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spelling my.uniten.dspace-220742023-05-16T10:47:10Z Generating matrix and sums of Fibonacci and Pell sequences Ho C.K. Woon H.S. Chong C.-Y. 7404653303 56287541700 56263082800 In this paper, we study the Fibonacci sequence and Pell sequence and developed generating matrices for them. First we proved two results on the even sum of the Fibonacci sequence and the Pell sequence, using the generating matrix approach. We then deduce the odd sums, some identities and recursive formulas for these two sequences. © 2014 AIP Publishing LLC. Final 2023-05-16T02:47:10Z 2023-05-16T02:47:10Z 2014 Conference Paper 10.1063/1.4887671 2-s2.0-84904663956 https://www.scopus.com/inward/record.uri?eid=2-s2.0-84904663956&doi=10.1063%2f1.4887671&partnerID=40&md5=671aace9b6036aec69259faaf7800e56 https://irepository.uniten.edu.my/handle/123456789/22074 1605 678 683 American Institute of Physics Inc. Scopus
institution Universiti Tenaga Nasional
building UNITEN Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tenaga Nasional
content_source UNITEN Institutional Repository
url_provider http://dspace.uniten.edu.my/
description In this paper, we study the Fibonacci sequence and Pell sequence and developed generating matrices for them. First we proved two results on the even sum of the Fibonacci sequence and the Pell sequence, using the generating matrix approach. We then deduce the odd sums, some identities and recursive formulas for these two sequences. © 2014 AIP Publishing LLC.
author2 7404653303
author_facet 7404653303
Ho C.K.
Woon H.S.
Chong C.-Y.
format Conference Paper
author Ho C.K.
Woon H.S.
Chong C.-Y.
spellingShingle Ho C.K.
Woon H.S.
Chong C.-Y.
Generating matrix and sums of Fibonacci and Pell sequences
author_sort Ho C.K.
title Generating matrix and sums of Fibonacci and Pell sequences
title_short Generating matrix and sums of Fibonacci and Pell sequences
title_full Generating matrix and sums of Fibonacci and Pell sequences
title_fullStr Generating matrix and sums of Fibonacci and Pell sequences
title_full_unstemmed Generating matrix and sums of Fibonacci and Pell sequences
title_sort generating matrix and sums of fibonacci and pell sequences
publisher American Institute of Physics Inc.
publishDate 2023
_version_ 1806426355753025536
score 13.232432

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