AbstractThe k-generalized Fibonacci sequence {g(k)n} is defined as follows: g(k)1 = … = g(k)k − 2 = 0, g(k)k − 1 = g(k)k = 1, and for n > k ⩾ 2, g(k)n = g(k)n − 1 + g(k)n − 2 + … g(k)n − k. We consider the relationship between g(k)n and 1-factors of a bipartite graph and the eigenvalues of k-generalized Fibonacci matrix Qk for k ⩾ 2. We give some interesting examples in combinatorics and probability with respect to the k-generalized Fibonacci sequence
Many authors define certain generalizations of the usual Fibonacci, Pell and Lucas numbers by matrix...
The $k-$generalized Fibonacci sequence $\big(F_{n}^{(k)}\big)_{n}$ resembles the Fibonacci sequence ...
In this paper, we define the Fibonacci-Fibonacci p-sequence and then we discuss the connection of th...
AbstractThe k-generalized Fibonacci sequence {g(k)n} is defined as follows: g(k)1 = … = g(k)k − 2 = ...
AbstractFor a positive integer k⩾2, the k-Fibonacci sequence {gn(k)} is defined as: g1(k)=⋯=gk−2(k)=...
In the present article first and foremost we define generalized Fibonacci sequence and k-Pell sequen...
AbstractFor a positive integer k⩾2, the k-Fibonacci sequence {g(k)n} is defined as: g(k)1=⋯=g(k)k−2=...
AbstractThe Fibonomial coefficients are known as interesting generalizations of binomial coefficient...
Matrix methods are a useful tool while dealing with many problems stemming from linear recurrence re...
We give divisibility properties of the generalized Fibonacci sequence by matrix methods. We also pre...
In this study we define the generalized k-order Fibonacci matrix and the n x n generalized Pascal ma...
AbstractProperties of some r-generalized Fibonacci sequences in the algebra of square matrices GL(r,...
The matrices of Fibonacci numbers (called windows) possess some unusual properties which are not sha...
In this study we define the generalized k-order Fibonacci matrix and the n x n generalized Pascal ma...
Abstract. The notion of the generalized Fibonacci matrix F(a;b;s)n of type s, whose nonzero elements...
Many authors define certain generalizations of the usual Fibonacci, Pell and Lucas numbers by matrix...
The $k-$generalized Fibonacci sequence $\big(F_{n}^{(k)}\big)_{n}$ resembles the Fibonacci sequence ...
In this paper, we define the Fibonacci-Fibonacci p-sequence and then we discuss the connection of th...
AbstractThe k-generalized Fibonacci sequence {g(k)n} is defined as follows: g(k)1 = … = g(k)k − 2 = ...
AbstractFor a positive integer k⩾2, the k-Fibonacci sequence {gn(k)} is defined as: g1(k)=⋯=gk−2(k)=...
In the present article first and foremost we define generalized Fibonacci sequence and k-Pell sequen...
AbstractFor a positive integer k⩾2, the k-Fibonacci sequence {g(k)n} is defined as: g(k)1=⋯=g(k)k−2=...
AbstractThe Fibonomial coefficients are known as interesting generalizations of binomial coefficient...
Matrix methods are a useful tool while dealing with many problems stemming from linear recurrence re...
We give divisibility properties of the generalized Fibonacci sequence by matrix methods. We also pre...
In this study we define the generalized k-order Fibonacci matrix and the n x n generalized Pascal ma...
AbstractProperties of some r-generalized Fibonacci sequences in the algebra of square matrices GL(r,...
The matrices of Fibonacci numbers (called windows) possess some unusual properties which are not sha...
In this study we define the generalized k-order Fibonacci matrix and the n x n generalized Pascal ma...
Abstract. The notion of the generalized Fibonacci matrix F(a;b;s)n of type s, whose nonzero elements...
Many authors define certain generalizations of the usual Fibonacci, Pell and Lucas numbers by matrix...
The $k-$generalized Fibonacci sequence $\big(F_{n}^{(k)}\big)_{n}$ resembles the Fibonacci sequence ...
In this paper, we define the Fibonacci-Fibonacci p-sequence and then we discuss the connection of th...
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