Relations for generalized Fibonacci and Tribonacci sequences
- 1 March 2019
- journal article
- research article
- Published by Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences) in Notes on Number Theory and Discrete Mathematics
- Vol. 25 (1), 178-192
- https://doi.org/10.7546/nntdm.2019.25.1.178-192
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
This publication has 1 reference indexed in Scilit:
- Binet type formula for Tribonacci sequence with arbitrary initial numbersChaos, Solitons, and Fractals, 2018