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On some combinatorial properties of bihyperbolic numbers of the Fibonacci type

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In this paper, we give some properties of the bihyperbolic Fibonacci, Jacobsthal and Pell numbers, among others the Binet formula, Catalan, Cassini, and d'Ocagne identities. Moreover, we present the generating… Click to show full abstract

In this paper, we give some properties of the bihyperbolic Fibonacci, Jacobsthal and Pell numbers, among others the Binet formula, Catalan, Cassini, and d'Ocagne identities. Moreover, we present the generating function and summation formulas for these numbers.

Keywords: bihyperbolic numbers; numbers fibonacci; fibonacci type; properties bihyperbolic; combinatorial properties

Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2020

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