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.NT2025

On the Largest Prime factor of the $k$ -generalized Pell numbers

Herbert Batte

Let $k \geq 2$ be an integer and consider the $k$ -generalized Pell sequence ${P_{n}^{(k)}}_{n \geq 2 - k}$ , defined by the initial values $0, \dots, 0, 0, 1$ (a total of $k$ terms), a…

math.NT2025

On $k$ -Pell numbers that are Palindromes formed by two distinct Repdigits

Herbert Batte, Darius Guma

Let $k \geq 2$ and consider the sequence ${P_{n}^{(k)}}_{n \geq 2 - k}$ of $k$ -generalized Pell numbers, which begins with the first $k$ terms as $0, \dots, 0, 0, 1$ , and satisfies th…

math.NT2025

$k$ -Fibonacci numbers that are palindromic concatenations of two distinct Repdigits

Herbert Batte, Florian Luca

Let $k \geq 2$ and ${F_{n}^{(k)}}_{n \geq 2 - k}$ be the sequence of $k$ --generalized Fibonacci numbers whose first $k$ terms are $0, \dots, 0, 0, 1$ and each term afterwards is the sum of…

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

On the Largest Prime factor of the k-generalized Pell numbers

On k-Pell numbers that are Palindromes formed by two distinct Repdigits

k-Fibonacci numbers that are palindromic concatenations of two distinct Repdigits

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

On the Largest Prime factor of the $k$ -generalized Pell numbers

On $k$ -Pell numbers that are Palindromes formed by two distinct Repdigits

$k$ -Fibonacci numbers that are palindromic concatenations of two distinct Repdigits