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Mersenne Numbers in Generalized Lucas Sequences
Proceedings of the Bulgarian Academy of SciencesLet $$k \geq 2$$ 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
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Pseudoprimality Related to the Generalized Lucas Sequences
Mathematics and Computers in Simulation, 2022Ovidiu Bagdasar, Dorin Andrica
exaly
International Journal of Applied Earth Observation and Geoinformation, 2020
Michael Wurm +2 more
exaly
Michael Wurm +2 more
exaly
On Some New Arithmetic Properties of the Generalized Lucas Sequences
Mediterranean Journal of Mathematics, 2021Ovidiu Bagdasar, Dorin Andrica
exaly
On the k -Lucas Numbers and Lucas Polynomials
Turkish Journal of Analysis and Number Theory, 2017Ali Boussayoud, Mohamed kerada
exaly

