A New Generalized Cassini Determinant
Ivica Martinjak, Igor Urbiha
TL;DR
This paper extends the Cassini determinant concept to hyperfibonacci sequences, providing explicit formulas and a Q-matrix for the r-th generation hyperfibonacci numbers.
Contribution
It introduces a generalized Cassini determinant for hyperfibonacci sequences and derives explicit formulas and a Q-matrix for these sequences.
Findings
Explicit expression of the Cassini determinant for hyperfibonacci sequences
Q-matrix for r-th generation hyperfibonacci numbers
Extension of Cassini determinant to hyperfibonacci sequences
Abstract
In this paper we extend a notion of Cassini determinant to recently introduced hyperfibonacci sequences. We find -matrix for the -th generation hyperfibonacci numbers and prove an explicit expression of the Cassini determinant for these sequences.
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