On The Complex-Type Catalan Transform of the k-Fibonacci Numbers
- Publication Type:
- Journal Article
- Citation:
- Journal of Integer Sequences, 2022, 25, (4)
- Issue Date:
- 2022-01-01
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We define a type of complex Catalan number and find some its properties. We also produce a complex Catalan transform and its inverse, together with associated generating functions and related matrices. These lead to connections with complex Catalan transforms of the k-Fibonacci numbers and the determinants of their Hankel matrices. The paper finishes with a conjecture.
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