Factorizations of negatively subscripted balancing and Lucas-balancing numbers

Autores

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

DOI:

https://doi.org/10.5269/bspm.v31i2.14263

Palavras-chave:

Balancing numbers, balancers, Lucas-balancing numbers, triangular numbers, Tridiagonal matrices, Determinant, Permanent

Resumo

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.

 

 

Biografia do Autor

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

    Senior Lecturer

    Department of Mathematics

     

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Publicado

2013-12-12

Edição

v. 31 n. 2 (2013)

Seção

Artigos

Licença

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

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