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Mersenne Numbers in Generalized Lucas Sequences

Proceedings of the Bulgarian Academy of Sciences
Let $$k \geq 2$$ be an integer and let $$(L_{n}^{(k)})_{n \geq 2-k}$$ be the $$k$$-generalized Lucas sequence with certain initial $$k$$ terms and each term afterward is the sum of the $$k$$ preceding terms. Mersenne numbers are the numbers of the form $$2^a-1$$, where $$a$$ is any positive integer.
ALAN, Murat, Altassan, Alaa
openaire   +2 more sources

The Lucas Sequences

CMS/CAIMS Books in Mathematics, 2023
Hugh C Williams, Christian J -C Ballot
exaly  

Pseudoprimality Related to the Generalized Lucas Sequences

Mathematics and Computers in Simulation, 2022
Ovidiu Bagdasar, Dorin Andrica
exaly  

Spatial and Semantic Effects of LUCAS Samples on Fully Automated Land Use/Land Cover Classification in High-Resolution Sentinel-2 Data

International Journal of Applied Earth Observation and Geoinformation, 2020
Michael Wurm   +2 more
exaly  

On Some New Arithmetic Properties of the Generalized Lucas Sequences

Mediterranean Journal of Mathematics, 2021
Ovidiu Bagdasar, Dorin Andrica
exaly  

On the k -Lucas Numbers and Lucas Polynomials

Turkish Journal of Analysis and Number Theory, 2017
Ali Boussayoud, Mohamed kerada
exaly  

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