Article Dans Une Revue Integers : Electronic Journal of Combinatorial Number Theory Année : 2020

On the x--coordinates of Pell equations that are products of two Padovan numbers

Mahadi Ddamulira
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Résumé

Let {Pn}n0 be the sequence of Padovan numbers defined by P0=0, P1=P2=1, and Pn+3=Pn+1+Pn for all n0. In this paper, we find all positive square-free integers d2 such that the Pell equations x2dy2=, where {±1,±4}, have at least two positive integer solutions (x,y) and (x,y) such that each of x and x is a product of two Padovan numbers.
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hal-02471858 , version 1 (09-02-2020)

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Mahadi Ddamulira. On the x--coordinates of Pell equations that are products of two Padovan numbers. Integers : Electronic Journal of Combinatorial Number Theory, 2020, 20. ⟨hal-02471858⟩
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