Korean Journal of Mathematics · 2016 · 10 citations · 8 references
Natural SciencesComputer ScienceMathematicsAlgebraMatrix ComputationMatrix Structure
In this note, we consider a generalized Fibonacci sequence $\{q_n\}$. We give a generating matrix for $\{q_n\}$. With the aid of this matrix, we derive and re-prove some properties involving terms of this sequence
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A Generalized Fibonacci Sequence
A. F. Horadam · American Mathematical Monthly · 1961 · 358 citations
A Generalized Fibonacci Sequence
A. F. Horadam · American Mathematical Monthly · 1961 · 135 citations
Fibonacci properties by matrix methods
John R. Silvester · The Mathematical Gazette · 1979 · 54 citations
The <i>n</i>th Power of a 2 × 2 Matrix
Kenneth S. Williams · Mathematics Magazine · 1992 · 32 citations