Fernando Córes and Diego Marques

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

Volume 20, 2014, Number 5, Pages 35—39

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## Details

### Authors and affiliations

Fernando Córes

*Department of Mathematics, University of Brasilia
Brasilia, DF, Brazi*

Diego Marques

*Department of Mathematics, University of Brasilia
Brasilia, DF, Brazi*

### Abstract

Let *Fn* and *Ln* be the *n*-th Fibonacci and Lucas number, respectively. In this note, we give a combinatorial proof for the following identity

### Keywords

- Fibonacci
- Lucas
- Multiple angle
- Combinatorial proof

### AMS Classification

- 11B39

### References

- Koshy, T., Fibonacci and Lucas Numbers with Applications, Wiley, New York, 2001.
- Thongmoon, M., New identities for the even and odd Fibonacci and Lucas Numbers, Int. J. Contemp. Math. Sciences, Vol. 4, 2009, 671–676

## Related papers

## Cite this paper

APACóres, F., & Marques, D. (2014). A combinatorial proof of multiple angle formulas involving Fibonacci and Lucas numbers. Notes on Number Theory and Discrete Mathematics, 20(5), 35-39.

ChicagoCóres, Fernando, and Diego Marques. “A Combinatorial Proof of Multiple Angle Formulas Involving Fibonacci and Lucas Numbers.” Notes on Number Theory and Discrete Mathematics 20, no. 5 (2014): 35-39.

MLACóres, Fernando, and Diego Marques. “A Combinatorial Proof of Multiple Angle Formulas Involving Fibonacci and Lucas Numbers.” Notes on Number Theory and Discrete Mathematics 20.5 (2014): 35-39. Print.