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arXiv · 2509.09578

Repdigits as Product of Consecutive Shifted Tribonacci Numbers

Pranabesh Das·Salah Eddine Rihane·Alain Togbé
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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 Tribonacci sequence. This paper deals with the presence of repdigits in the products of consecutive shifted Tribonacci numbers.

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Pranabesh Das, Salah Eddine Rihane, Alain Togbé. 2025-09-11. Repdigits as Product of Consecutive Shifted Tribonacci Numbers. https://arxiv.org/abs/2509.09578

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