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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Bibliographic Details

Published in:	Notes on Number Theory and Discrete Mathematics
Main Authors:	Hunar Sherzad Taher, Saroj Kumar Dash
Format:	Article
Language:	English
Published:	"Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences 2025-08-01
Subjects:	diophantine equations linear forms in logarithms generalized fibonacci numbers generalized lucas numbers reduction method
Online Access:	https://nntdm.net/papers/nntdm-31/NNTDM-31-3-448-459.pdf