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Bi-Periodic Pell Sequence

S. Uygun* and H. Karata?
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S. Uygun*: Department of Mathematics - Faculty of Science and Arts, Gaziantep University, 27310, Gaziantep, Turkey
H. Karata?: Department of Mathematics - Faculty of Science and Arts, Gaziantep University, 27310, Gaziantep, Turkey

Academic Journal of Applied Mathematical Sciences, 2020, vol. 6, issue 7, 136-144

Abstract: In this study, we introduce a new generalization of the Pell numbers which is called bi-periodic Pell sequences. We then proceed to find the Binet formula as well as the generating function for this sequence. The well-known Cassini, Catalan and the D’ocagne’s identities as well as some related binomial summation and sum formulas are also given. The convergence properties of the consecutive terms of this sequence is also examined.

Keywords: Pell sequence; Binet formula; Generating functions (search for similar items in EconPapers)
Date: 2020
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