Factorizations of negatively subscripted balancing and Lucas-balancing numbers

  • Prasanta Kumar Ray Department of Mathematics, International Institute of Information and Technology (IIIT), Bhubaneswar, Odisha
Keywords: Balancing numbers, balancers, Lucas-balancing numbers, triangular numbers, Tridiagonal matrices, Determinant, Permanent

Abstract

In this paper, we  find some tridigonal matrices whose determinant and permanent are equal to the negatively subscripted balancing and Lucas- balancing numbers. Also using the First and second kind of Chebyshev polynomials, we obtain the factorization of these numbers.

 

 

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Author Biography

Prasanta Kumar Ray, Department of Mathematics, International Institute of Information and Technology (IIIT), Bhubaneswar, Odisha

Senior Lecturer

Department of Mathematics

 

Published
2013-12-12
Section
Articles