JP Journal of Algebra, Number Theory and Applications
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Abstract: In this paper, we continue
from [7] and [8], for and to study the infinite
sequences of triples and with the property that the product
of any two different components of them increased by k
are squares. The sequences A and B are built from the Pell numbers while the sequences C
and D from the Pell-Lucas numbers We show many interesting properties
of various matrices with rows from these sequences and give methods how toget squares from them. Some of our theorems have versions for theassociated sequences and
