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(10m-1)/9 for some m≥ 1 and 1 ≤ d ≤ 9. Let (Tn)n0 be the sequence of Tribonacci. This paper deals with the presence of repdigits in the products of consecutive shifted Tribonacci numbers.

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