Herbert Batte

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20212026

most citedOn the Largest Prime factor of the k-generalized Lucas numbers

1 citations · 2 across the 19 of their papers we have counts for

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math.GM2025

On Palindromic forms in the $k$ -Lucas sequence composed of two distinct Repdigits

Herbert Batte, Prosper Kaggwa

For integers $k \geq 2$ , the $k$ -generalized Lucas sequence ${L_{n}^{(k)}}_{n \geq 2 - k}$ is defined by the recurrence relation \[ L_n^{(k)} = L_{n-1}^{(k)} + \cdots + L_{n-k}^{(k)}…

math.GM2023

Lucas numbers that are palindromic concatenations of two distinct repdigits

Herbert Batte

Let ${L_{n}}_{n \geq 0}$ be the sequence of Lucas numbers. In this paper, we determine all Lucas numbers that are palindromic concatenations of two distinct repdigits.

On Palindromic forms in the k-Lucas sequence composed of two distinct Repdigits

Lucas numbers that are palindromic concatenations of two distinct repdigits

On Palindromic forms in the $k$ -Lucas sequence composed of two distinct Repdigits