Repdigits as Product of Consecutive Shifted Tribonacci Numbers
Pranabesh Das, Salah Eddine Rihane, Alain Togbé
Published: 2025/9/11
Abstract
A repdigit is a positive integer that has only one distinct digit in its decimal expansion, i.e., a number has the form $d(10^m-1)/9$ for some $m\geq 1$ and $1 \leq d \leq 9$. Let $\left(T_n\right)_{n\ge0}$ be the sequence of Tribonacci. This paper deals with the presence of repdigits in the products of consecutive shifted Tribonacci numbers.