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2022
DOI: 10.37193/cmi.2023.01.05
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On the Quinary Fibonacci-Padovan Sequences

Abstract: In this paper, we consider the Fibonacci and Padovan sequences. We introduce the quinary Fibonacci-Padovan sequences whose compounds are the Fibonacci and Padovan sequences. We derive the Binet-like formulas, the generating functions and exponential generating functions of these sequences. Also, we obtain some binomial identities, series and sums for them.

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