x-Coordinates of Pell equations which are Tribonacci numbers II

x-Coordinates of Pell equations which are Tribonacci numbers II

For an integer d ≥ 2 which is not a square, we show that there is at most one value of the positive integer x participating in the Pell equation x 2 - d y 2 = ± 4 which is a Tribonacci number, with a few exceptions that we completely characterize.

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Veröffentlicht in:Periodica mathematica Hungarica 2019-12, Vol.79 (2), p.157-167
Hauptverfasser: Kafle, Bir, Luca, Florian, Togbé, Alain
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Sprache:eng
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Integers
Mathematics
Mathematics and Statistics
Numbers
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container_title Periodica mathematica Hungarica
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creator Kafle, Bir
Luca, Florian
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description For an integer d ≥ 2 which is not a square, we show that there is at most one value of the positive integer x participating in the Pell equation x 2 - d y 2 = ± 4 which is a Tribonacci number, with a few exceptions that we completely characterize.
doi_str_mv 10.1007/s10998-018-0264-x
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Mathematics
Mathematics and Statistics
Numbers
title x-Coordinates of Pell equations which are Tribonacci numbers II
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