JP Journal of Algebra, Number Theory and Applications
Volume 21, Issue 2, Pages 117 - 132
(June 2011)
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MATRICES WITH ROWS IN EULER TRIPLES FROM PELL AND PELL-LUCAS NUMBERS
Zvonko Čerin and Gian Mario Gianella
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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 to
get squares from them. Some of our theorems have versions for the
associated sequences
and