The X-coordinates of Pell equations and Padovan numbers
The X-coordinates of Pell equations and Padovan numbers
: In this paper, we show that there is at most one value of the positive integer X participating in the Pellequation $X^2-dY^2=k$ , where k ∈ {±1, ±4} , which is a Padovan number, with a few exceptions that we completely characterize.
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