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# Integers

Mathematical Citation Quotient (MCQ) 2016: 0.40

Online
ISSN
1867-0660
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# Lucas Numbers and Determinants

• 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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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.

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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