On the -coordinates of Pell equations that are sums of two Padovan numbers.

Bol Soc Mat Mex

Institute of Analysis and Number Theory, Graz University of Technology, Kopernikusgasse 24/II, 8010 Graz, Austria.

Published: February 2021

Let be the sequence of Padovan numbers defined by , , and for all . In this paper, we find all positive square-free integers such that the Pell equations with , have at least two positive integer solutions (, ) and such that both and are sums of two Padovan numbers.

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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC7900383PMC
http://dx.doi.org/10.1007/s40590-021-00312-8DOI Listing

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