Repdigits as Product of Consecutive Shifted Tribonacci Numbers

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 $m\ge 1$ and $1\le d\le 9$. Let ${\left(T_n\right)}_{n\ge 0}$ be the Tribonacci sequence. This paper deals with the presence of repdigits in the products of consecutive shifted Tribonacci numbers.

Accepted