Bulletin of the Korean Mathematical Society (대한수학회보)

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ON PILLAI'S PROBLEM WITH TRIBONACCI NUMBERS AND POWERS OF 2

  • Bravo, Jhon J. (Departamento de Matematicas Universidad del Cauca) ;
  • Luca, Florian (School of Mathematics University of the Witwatersrand) ;
  • Yazan, Karina (Departamento de Matematicas Universidad del Cauca)
  • Received : 2016.06.09
  • Published : 2017.05.31
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Abstract

The Tribonacci sequence ${\{T_n}\}_{n{\geq}0}$ resembles the Fibonacci sequence in that it starts with the values 0, 1, 1, and each term afterwards is the sum of the preceding three terms. In this paper, we find all integers c having at least two representations as a difference between a Tribonacci number and a power of 2. This paper continues the previous work [5].

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References

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Cited by

  1. On a variant of Pillai's problem II 2017, https://doi.org/10.1016/j.jnt.2017.07.016
  2. On Pillai’s problem with the Fibonacci and Pell sequences pp.2296-4495, 2019, https://doi.org/10.1007/s40590-018-0223-9
  3. On a problem of Pillai with k–generalized Fibonacci numbers and powers of 2 vol.187, pp.4, 2018, https://doi.org/10.1007/s00605-018-1155-1