Abstract
In this paper, we define and investigate the generalized Pisano sequences and we deal with, in detail, two special cases, namely, Pisano and Pisano-Lucas sequences. We present Binet's formulas, generating functions and Simson's formulas for these sequences. Moreover, we give some identities and matrices associated with these sequences. Furthermore, we show that there are close relations between Pisano and Pisano-Lucas numbers and modified Oresme, Oresme-Lucas and Oresme numbers.
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Kapsamı
Uluslararası
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Type
Hakemli
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Index info
WOS.ESCI
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Language
English
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Article Type
None
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Keywords
Pisano numbers Pisano-Lucas numbers Tribonacci numbers Modified Oresme numbers Oresme-Lucas numbers Oresme numbers