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Powers of two as sums of three Fibonacci numbers

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Abstract

We find all positive integer solutions of the Diophantine equation F n + F m + F e = 2a, where F k is the kth term of the Fibonacci sequence. This paper continues and extends the previous work of J.J. Bravo and F. Luca [On the Diophantine equation F n + F m = 2a, Quaest. Math., to appear].

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References

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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad del Cauca, Calle 5 No. 4-70, Popayán, Colombia

    Eric F. Bravo & Jhon J. Bravo

Authors
  1. Eric F. Bravo
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  2. Jhon J. Bravo
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Corresponding author

Correspondence to Eric F. Bravo.

Additional information

The author was supported by Colciencias (Colombia) through the Program Jóvenes investigadores e innovadores.

The author was supported in part by Projects VRI ID 3744 (Universidad del Cauca) and Colciencias 110356935047.

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Bravo, E.F., Bravo, J.J. Powers of two as sums of three Fibonacci numbers. Lith Math J 55, 301–311 (2015). https://doi.org/10.1007/s10986-015-9282-z

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  • DOI: https://doi.org/10.1007/s10986-015-9282-z

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