On the k-Fibonacci and k-Lucas spinors
NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS(2023)
摘要
In this paper, we introduce a new family of sequences called the k-Fibonacci and k-Lucas spinors. Starting with the Binet formulas we present their basic properties, such as Cassini's identity, Catalan's identity, d'Ocagne's identity, Vajda's identity, and Honsberger's identity. In addition, we discuss their generating functions. Finally, we obtain sum formulae and relations between k-Fibonacci and k-Lucas spinors.
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关键词
k-fibonacci,k-lucas
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