Robert Frontczak

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 25, 2019, Number 1, Pages 178—192

DOI: 10.7546/nntdm.2019.25.1.178-192

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## Details

### Authors and affiliations

Robert Frontczak

*Landesbank Baden-Württemberg
Am Hauptbahnhof 2, 70173 Stuttgart, Germany
*

### Abstract

In this article, we are concerned with connections between generalized Fibonacci and Tribonacci sequences. The identities we derive are of convolution type. As particular examples, we state several identities between Fibonacci and Tribonacci numbers, Fibonacci and Tribonacci–Lucas numbers, Lucas and Tribonacci numbers and Lucas and Tribonacci–Lucas numbers, respectively. Our results provide extensions of some recently obtained identities.

### Keywords

- Generating function
- Fibonacci number
- Tribonacci number

### 2010 Mathematics Subject Classification

- 11B37
- 11B39

### References

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## Related papers

- Nagaraja, K. M., & Dhanya, P. (2020). Identities on generalized Fibonacci and Lucas numbers. Notes on Number Theory and Discrete Mathematics, 26 (3), 189-202, doi: 10.7546/nntdm.2020.26.3.189-202.

## Cite this paper

APAFrontczak, R. (2019). Relations for generalized Fibonacci and Tribonacci sequences. Notes on Number Theory and Discrete Mathematics, 25(1), 178-192, doi: 10.7546/nntdm.2019.25.1.178-192.

ChicagoFrontczak, Robert. “Relations for Generalized Fibonacci and Tribonacci Sequences.” Notes on Number Theory and Discrete Mathematics 25, no. 1 (2019): 178-192, doi: 10.7546/nntdm.2019.25.1.178-192.

MLAFrontczak, Robert. “Relations for Generalized Fibonacci and Tribonacci Sequences.” Notes on Number Theory and Discrete Mathematics 25.1 (2019): 178-192. Print, doi: 10.7546/nntdm.2019.25.1.178-192.