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Ars Combinatoria

  • Research article

A Note on \(k\)-Tridiagonal Matrices with the Balancing and Lucas-Balancing Numbers

Fatih Yilmaz1, Emrullah Kirklar 1
1Department of Mathematics, Polath Art and Science Faculty, Gazi University,06900 Ankara, Turkey
  • Published: 30/04/2015

Abstract

In this note, we consider one type of \(k\)-tridiagonal matrix family whose permanents and determinants are specified to the balancing and Lucas-balancing numbers. Moreover, we provide some properties between Chebyshev polynomial properties and the given number
sequences,

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Citation
Fatih Yilmaz, Emrullah Kirklar . A Note on \(k\)-Tridiagonal Matrices with the Balancing and Lucas-Balancing Numbers[J], Ars Combinatoria, Volume 120. 283-291. .