Funda Taşdemir

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 27, 2021, Number 1, Pages 188–197

DOI: 10.7546/nntdm.2021.27.1.188-197

**Full paper (PDF, 179 Kb)**

## Details

### Authors and affiliations

Funda Taşdemir

*Department of Mathematics, Yozgat Bozok University
Yozgat, Turkey
*

### Abstract

In this paper, we consider some triple sums that involve Fibonacci numbers with three binomial coefficients. We chose the indices of Fibonacci numbers as linear combination of the summation indices. Moreover, various types of alternating analogues of them whose powers depend on the index or indices are computed. These sums are evaluated in nice multiplication forms in terms of Fibonacci and Lucas numbers.

### Keywords

- Fibonacci numbers
- Lucas numbers
- Binomial triple sums

### 2010 Mathematics Subject Classification

- 11B39
- 05A10

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## Cite this paper

Taşdemir, F. (2021). Triple sums including Fibonacci numbers with three binomial coefficients. *Notes on Number Theory and Discrete Mathematics*, 27(1), 188-197, DOI: 10.7546/nntdm.2021.27.1.188-197.