Factorizations of negatively subscripted balancing and Lucas-balancing numbers

Prasanta Kumar Ray

doi:10.5269/bspm.v31i2.14263

Factorizations of negatively subscripted balancing and Lucas-balancing numbers

Autores/as

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

DOI:

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

Palabras clave:

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

Resumen

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.

Biografía del autor/a

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

Senior Lecturer
Department of Mathematics