Generalized Fibonacci arrays have attractive properties and could provide a wealth of further activities for exploration. We have considered arithmetic progressions but geometric or other sequences whose partial sums are known, together with a wider variety of row length sequences, could also be studied using the methods employed here
The sequence of Fibonacci numbers is defined by F0 = 0, Fj = 1, and F 9 = F + n+2 n F,- (n ^ 0), and...
This paper presents an attempt to explain and experiment with Fibonacci numbers. It is illustrated w...
This paper describes a class of sequences that are in many ways similar to Fibonacci sequences: give...
We interpret generalized Fibonacci numbers as phased tilings and introduce several combinatorial tec...
Fibonacci numbers arise in the solution of many combinatorial problems. They count the number of bin...
Let be an integer and let and denote generalized Fibonacci and Lucas sequences defined by ; and , fo...
The Fibonacci sequence can be used as a starting point for an interesting project or research experi...
Notions related to repetitive substructures in two-dimensional arrays are introduced and studied in ...
In number theory a very famous sequence of numbers is the Fibonacci sequence. It has the form 1, 1,2...
The extended Fibonacci sequence of numbers and polynomials is introduced and studied. The generating...
In this paper we are going to present three formulas to express Fibonacci-like sequences with the Fi...
The Fibonacci sequence is arguably the most observed sequence not only in mathematics, but also in n...
A generalization of the well-known Fibonacci sequence is the k−Fibonacci sequence whose first k term...
We compute certain sums including generalized Fibonacci and Lucas numbers as well as their alternati...
Here we are proposing generalized sums for Fibonacci and Lucas numbers. In the case of the Fibonacc...
The sequence of Fibonacci numbers is defined by F0 = 0, Fj = 1, and F 9 = F + n+2 n F,- (n ^ 0), and...
This paper presents an attempt to explain and experiment with Fibonacci numbers. It is illustrated w...
This paper describes a class of sequences that are in many ways similar to Fibonacci sequences: give...
We interpret generalized Fibonacci numbers as phased tilings and introduce several combinatorial tec...
Fibonacci numbers arise in the solution of many combinatorial problems. They count the number of bin...
Let be an integer and let and denote generalized Fibonacci and Lucas sequences defined by ; and , fo...
The Fibonacci sequence can be used as a starting point for an interesting project or research experi...
Notions related to repetitive substructures in two-dimensional arrays are introduced and studied in ...
In number theory a very famous sequence of numbers is the Fibonacci sequence. It has the form 1, 1,2...
The extended Fibonacci sequence of numbers and polynomials is introduced and studied. The generating...
In this paper we are going to present three formulas to express Fibonacci-like sequences with the Fi...
The Fibonacci sequence is arguably the most observed sequence not only in mathematics, but also in n...
A generalization of the well-known Fibonacci sequence is the k−Fibonacci sequence whose first k term...
We compute certain sums including generalized Fibonacci and Lucas numbers as well as their alternati...
Here we are proposing generalized sums for Fibonacci and Lucas numbers. In the case of the Fibonacc...
The sequence of Fibonacci numbers is defined by F0 = 0, Fj = 1, and F 9 = F + n+2 n F,- (n ^ 0), and...
This paper presents an attempt to explain and experiment with Fibonacci numbers. It is illustrated w...
This paper describes a class of sequences that are in many ways similar to Fibonacci sequences: give...