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arxiv: 1509.03226 · v1 · pith:5VJYXYS5new · submitted 2015-09-10 · 🧮 math.CO · math.NT

A New Generalized Cassini Determinant

classification 🧮 math.CO math.NT
keywords cassinideterminanthyperfibonaccisequencesexplicitexpressionextendfind
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In this paper we extend a notion of Cassini determinant to recently introduced hyperfibonacci sequences. We find $Q$-matrix for the $r$-th generation hyperfibonacci numbers and prove an explicit expression of the Cassini determinant for these sequences.

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