“School of Mathematics”
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| Paper IPM / M / 11843 |
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| Abstract: | |
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In this article, we present two infinite dimensional matrices
whose entries are recursively defined, and show that the sequence
of their principal minors form the Lucas sequence, that is (2,1, 3, 4, 7, …). It is worth mentioning that to construct
these matrices we use nonhomogeneous recurrence relations.
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