Takao Komatsu and Rusen Li

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 25, 2019, Number 3, Pages 142-169

DOI: 10.7546/nntdm.2019.25.3.142-169

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## Details

### Authors and affiliations

Takao Komatsu

*Department of Mathematical Sciences, School of Science
Zhejiang Sci-Tech University
Hangzhou, 310018, P. R. China
*

Rusen Li

*School of Mathematics, Shandong University
Jinan, 250100, P. R. China
*

### Abstract

Convolution identities for various numbers (e.g., Bernoulli, Euler, Genocchi, Catalan, Cauchy and Stirling numbers) have been studied by many authors. Recently, several convolution identities have been studied for Fibonacci and Tribonacci numbers too. In this paper, we give convolution identities with and without binomial (multinomial) coefficients for Tetranacci numbers, and convolution identities with binomial coefficients for Tetranacci and Tetranacci-type numbers.

### Keywords

- Tetranacci numbers
- Convolutions
- Symmetric formulae

### 2010 Mathematics Subject Classification

- 11B39
- 11B37
- 05A15
- 05A19

### 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

APAKomatsu, T. & Li , R. (2019). Convolution identities for Tetranacci numbers. Notes on Number Theory and Discrete Mathematics, 25(3), 142-169, doi: 10.7546/nntdm.2019.25.3.142-169.

ChicagoKomatsu, Takao and Rusen Li. (2019). “Convolution identities for Tetranacci numbers.” Notes on Number Theory and Discrete Mathematics. Notes on Number Theory and Discrete Mathematics 25, no. 3 (2019): 142-169, doi: 10.7546/nntdm.2019.25.3.142-169.

MLAKomatsu, Takao and Rusen Li. (2019). “Convolution identities for Tetranacci numbers” Notes on Number Theory and Discrete Mathematics 25.3 (2019): 142-169. Print, doi: 10.7546/nntdm.2019.25.3.142-169.