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Reseach Article

Generalized Coupled Fibonacci Sequences of rth Order and their Properties

by Krishna Kumar Sharma, Vikas Panwar, Sumit Kumar Sharma
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 87 - Number 8
Year of Publication: 2014
Authors: Krishna Kumar Sharma, Vikas Panwar, Sumit Kumar Sharma
10.5120/15230-3756

Krishna Kumar Sharma, Vikas Panwar, Sumit Kumar Sharma . Generalized Coupled Fibonacci Sequences of rth Order and their Properties. International Journal of Computer Applications. 87, 8 ( February 2014), 28-30. DOI=10.5120/15230-3756

@article{ 10.5120/15230-3756,
author = { Krishna Kumar Sharma, Vikas Panwar, Sumit Kumar Sharma },
title = { Generalized Coupled Fibonacci Sequences of rth Order and their Properties },
journal = { International Journal of Computer Applications },
issue_date = { February 2014 },
volume = { 87 },
number = { 8 },
month = { February },
year = { 2014 },
issn = { 0975-8887 },
pages = { 28-30 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume87/number8/15230-3756/ },
doi = { 10.5120/15230-3756 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:05:25.433948+05:30
%A Krishna Kumar Sharma
%A Vikas Panwar
%A Sumit Kumar Sharma
%T Generalized Coupled Fibonacci Sequences of rth Order and their Properties
%J International Journal of Computer Applications
%@ 0975-8887
%V 87
%N 8
%P 28-30
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Among numerical sequences, the Fibonacci numbers have achieved a kind of celebrity status with such fabulous properties, it is no wonder that the Fibonacci numbers stand out as a kind of super sequence. Fibonacci numbers have been studied in many different forms for centuries and the literature on the subject is consequently, incredibly vast. The Fibonacci sequence has been generalized in a number of ways. The purpose of this paper is to demonstrate many of the properties of Coupled Fibonacci sequences of rth order, which can be stated and proved for a much more general class.

References
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  2. Attanassov K T, 2002. New Visual Perspective of Fibonacci Numbers,World Scientific Publishing Company,Singapore.
  3. Attanssov,K T, 1995. Remark On a New Direction Of Generalized Fibonacci Sequence,Fibonacci Quarterly,33 No 3,249-250.
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  5. Koshy T. , 2001. Fibonacci and Lucas Numbers with Applications, Willey.
  6. Singh M ,Sikhwal O,Jain S, 2010. Coupled Fibonacci Sequence of Fiifth Orde and Some Properties,Int Journal of Mathematical analysis,4 No 25. 1247-1254.
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Index Terms

Computer Science
Information Sciences

Keywords

Fibonacci sequences Coupled Fibonacci sequences