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The Fibonacci sequence is a well-known example of second order recurrence sequence, which belongs to a particular class of recursive sequences. In this article, other generalized Fibonacci sequence is introduced… Click to show full abstract
The Fibonacci sequence is a well-known example of second order recurrence sequence, which belongs to a particular class of recursive sequences. In this article, other generalized Fibonacci sequence is introduced and defined by $ H_{k,n+1}=2H_{k,n}+kH_{k,n-1},~n\geq1,~H_{k,0}=2,~H_{k,1}=1$ and $k$ is the positive real number. Also $n^{th}$ power of the generating matrix for this generalized Fibonacci sequence is established and some basic properties of this sequence are obtained by matrix methods.
Keywords:
matrix representation;
fibonacci sequence;
generalized fibonacci;
two two;
two matrix;
sequence
Journal Title: Hacettepe Journal of Mathematics and Statistics
Year Published: 2017
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Journal Title: Hacettepe Journal of Mathematics and Statistics
Year Published: 2017
Link to full text (if available)
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recommendations!