Prasanta K Ray and Gopal K Panda

Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132

Volume 21, 2015, Number 3, Pages 56—63

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## Details

### Authors and affiliations

Prasanta K Ray

*Department of Mathematics, Veer Surendra Sai University of Technology
Odisha, Burla-768018, India
*

Gopal K Panda

*Department of Mathematics, National Institute of Technology Rourkela
Rourkela-769008, India
*

### Abstract

It is well known that balancing and Lucas-balancing numbers are expressed as determinants of suitable tridiagonal matrices. The aim of this paper is to express certain subsequences of balancing and Lucas-balancing numbers in terms of determinants of tridiagonal matrices. Using these tridiagonal matrices, a factorization of the balancing numbers is also derived.

### Keywords

- Balancing numbers
- Balancers
- Lucas-balancing numbers
- Tridiagonal matrices

### AMS Classification

- 11B39
- 11B83

### References

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## Related papers

## Cite this paper

APARay, P. K., & Panda, G. K. (2015). Tridiagonal matrices related to subsequences of balancing and Lucas-balancing numbers. Notes on Number Theory and Discrete Mathematics, 21(3), 56-63.

ChicagoRay, Prasanta Kumar, and Gopal K Panda. “Tridiagonal Matrices Related to Subsequences of Balancing and Lucas-balancing Numbers.” Notes on Number Theory and Discrete Mathematics 21, no. 3 (2015): 56-63.

MLARay, Prasanta Kumar, and Gopal K Panda. “Tridiagonal Matrices Related to Subsequences of Balancing and Lucas-balancing Numbers.” Notes on Number Theory and Discrete Mathematics 21.3 (2015): 56-63. Print.