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Integers

Mathematical Citation Quotient (MCQ) 2017: 0.20

Online
ISSN
1867-0660
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Lucas Numbers and Determinants

Alireza Moghaddamfar
• Department of Mathematics, K. N. Toosi University of Technology, P. O. Box 16315-1618, Tehran, and School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P. O. Box 19395-5746, Tehran, Iran
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• Other articles by this author:
• De Gruyter OnlineGoogle Scholar
/ Hadiseh Tajbakhsh
Published Online: 2012-01-24 | DOI: https://doi.org/10.1515/integ.2011.081

Abstract.

In this article, we present two infinite dimensional matrices whose entries are recursively defined, and show that the sequence of their principal minors form the Lucas sequence, that is $(2,1,3,4,7,...)$. It is worth mentioning that to construct these matrices we use nonhomogeneous recurrence relations.

About the article

Received: 2010-04-04

Revised: 2011-05-09

Accepted: 2011-05-27

Published Online: 2012-01-24

Published in Print: 2012-02-01

Citation Information: Integers, Volume 12, Issue 1, Pages 21–51, ISSN (Online) 1867-0652, ISSN (Print) 1867-0652,

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