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On The Generalized Lucas Sequences by Hessenberg Matrices.
Ars Comb., 2010We show that there are relationships between a generalized Lucas sequence and the permanent and determinant of some Hessenberg matrices.
Taşcı, Dursun +2 more
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On Some New Arithmetic Properties of the Generalized Lucas Sequences
Mediterranean Journal of Mathematics, 2021Ovidiu Bagdasar, Dorin Andrica
exaly
SPECIAL MATRICES ON LUCAS AND COMPANION-LUCAS SEQUENCES
2015In this paper, we derived some algebraic relations on circulant, negacyclic, semicirculant and companion matrices of Lucas and Companion-Lucas sequences dened by Un = pUn−1 − qUn−2 and Vn = pVn−1 − qVn−2, with initial values U0 = 0, U1 = 1 and V0 = 2, V1 = p for n ≥ 2, where p and q are non-zero integers such that p2 − 4q ≠ 0.
Özkoç, Arzu, Ardiyok, Elif
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Pseudoprimality Related to the Generalized Lucas Sequences
Mathematics and Computers in Simulation, 2022Ovidiu Bagdasar, Dorin Andrica
exaly
Wolstenholme’s Congruence for Lucas Sequences
The American Mathematical MonthlyEmi Lycan +2 more
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On Members of Lucas Sequences Which Are Products of Factorials
Monatshefte Fur Mathematik, 2020Shanta Laishram, Florian Luca
exaly
Some Identities of the Generalized Fibonacci and Lucas Sequences
Applied Mathematics and Computation, 2018Zhizheng Zhang
exaly
A Note on the Bi-Periodic Fibonacci and Lucas Matrix Sequences
Applied Mathematics and Computation, 2018Arzu Coşkun
exaly