
\textit{Hyper-Fibonacci numbers} were first defined by \textit{A. Dil} and \textit{I. Mező} [Appl. Math. Comput. 206, No. 2, 942--951 (2008; Zbl 1200.65104)]. The goal of the paper under review is to (i) provide some combinatorial properties of a generalization of the \textit{hyper-Fibonacci numbers}, and (ii) to apply these properties to the \textit{Cassini identity}.
hyper-Fibonacci numbers, Fibonacci and Lucas numbers and polynomials and generalizations, Cassini identity
hyper-Fibonacci numbers, Fibonacci and Lucas numbers and polynomials and generalizations, Cassini identity
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