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On sums of k-generalized Fibonacci and k-generalized Lucas numbers as first and second kinds of Thabit numbers

Let (Fᵣ⁽ᵏ⁾)ᵣ≥2-k and (Lᵣ⁽ᵏ⁾)ᵣ≥2-k be generalizations of the Fibonacci and Lucas sequences, where k≥2. For these sequences the initial k terms are 0,0,...,0, 1 and 0,0,...,2,1, and each subsequent term is the sum of the preceding k terms. In this paper, we determined all first and second kinds of Tha...

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Principais autores: Hunar Sherzad Taher, Saroj Kumar Dash
Formato: Artigo
Idioma:Inglês
Publicado: "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences 2025-08-01
Series:Notes on Number Theory and Discrete Mathematics
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Acceso en liña:https://nntdm.net/papers/nntdm-31/NNTDM-31-3-448-459.pdf
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