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Repdigits as Sums of Four Tribonacci Numbers

In this paper, we show that 66666 is the largest repdigit expressible as the sum of four tribonacci numbers. We used Binet’s formula, Baker’s theory, and a reduction method during… Click to show full abstract

In this paper, we show that 66666 is the largest repdigit expressible as the sum of four tribonacci numbers. We used Binet’s formula, Baker’s theory, and a reduction method during the proving procedure. We also used the periodic properties of tribonacci number modulo 9 to deal with three individual cases.

Keywords: sums four; four tribonacci; repdigits sums; tribonacci numbers

Journal Title: Symmetry
Year Published: 2022

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