@article{tjant2020811,
author={Ricci, Paolo Emilio},
title={A Note on Golden RATIO and Higher Order Fibonacci Sequences},
journal={Turkish Journal of Analysis and Number Theory},
volume={8},
number={1},
pages={1--5},
year={2020},
url={http://pubs.sciepub.com/tjant/8/1/1},
issn={2333-1232},
abstract={The Lucas formula representing integer powers of the Golden ratio in terms of Fibonacci numbers is derived starting from a general result on matrix powers. The same technique is applied to the Tribonacci sequence, and the extension to higher-order Fibonacci sequences is also considered. It is shown that, by using classical results on matrix theory, the problem can be treated in a general and uniform method.},
doi={10.12691/tjant-8-1-1}
publisher={Science and Education Publishing}
}