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Tribonacci numbers with two blocks of repdigits

  • Eric F. Bravo EMAIL logo and Jhon J. Bravo
From the journal Mathematica Slovaca

Abstract

The Tribonacci sequence is a generalization of the Fibonacci sequence which starts with 0,0,1 and each term afterwards is the sum of the three preceding terms. Here, we show that the only Tribonacci numbers that are concatenations of two repdigits are 13,24,44,81. This paper continues a previous work that searched for Fibonacci numbers which are concatenations of two repdigits.

MSC 2010: Primary 11B39; 11J86

The authors are members of the research group: Matemática Discreta y Aplicaciones: ERM (MATDIS).

J. J. B. was supported in part by Project VRI ID 5385 (Universidad del Cauca)


Acknowledgement

We thank the reviewers for their detailed comments and suggestions which significantly contributed to improving the quality of the manuscript.

  1. (Communicated by István Gaál )

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Received: 2020-04-08
Accepted: 2020-05-20
Published Online: 2021-04-14
Published in Print: 2021-04-27

© 2021 Mathematical Institute Slovak Academy of Sciences

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