Add to ORKGAbstract. We shall improve some results on sums of squares of odd terms of the Fibonacci sequence by Rajesh and Leversha. The Fibonacci sequence Fn is dened by the recurrence relation F1 = F2 = 1; Fn = Fn1 + Fn2 for n> 3
We consider the recurrence relation $G_n = G_{n-1} + G_{n-2} + \sum_{j=0}^k \alpha_j n^j$, where $G_...
Let $\sigma_k(n)$ be the sum of the $k$th powers of the divisors of $n$. Here, we prove that if $(F_...
We consider the recurrence relation $G_n = G_{n-1} + G_{n-2} + \sum_{j=0}^k \alpha_j n^j$, where $G_...
The Fibonacci and Lucas sequences Fn and Ln are dened by the recurrence relation
The Fibonacci sequence can be used as a starting point for an interesting project or research experi...
will be produced in a year, beginning with a single pair, if in every month each pair bears a new pa...
A second order recurrence relation Fn is called Fibonacci sequence if it satisfies that F0=0, F1=1, ...
AbstractAll our words (sequences) are binary. A square is a subword of the form uu (concatenation). ...
together with the particular values (2) FQ = 0, F1 = 1. It is easily verified that the unique soluti...
Abstract: The coupled Fibonacci Sequences are first Introduced by K.T.Atanassov in 1985.Sequences ha...
AbstractGiven a set of sequences defined by linear recurrence relations 1 method is described for fi...
A second order recurrence relation Fn is called Fibonacci sequence if it satisfies that F0=0, F1=1, ...
Let P and Q be nonzero integers. The generalized Fibonacci and Lucas sequences are defined respectiv...
Abstract: Let n be an integer. A set of positive integers is said to have the property D(n) if the p...
These notes put on record part of the contents of a conversation the first author had with John Conw...
We consider the recurrence relation $G_n = G_{n-1} + G_{n-2} + \sum_{j=0}^k \alpha_j n^j$, where $G_...
Let $\sigma_k(n)$ be the sum of the $k$th powers of the divisors of $n$. Here, we prove that if $(F_...
We consider the recurrence relation $G_n = G_{n-1} + G_{n-2} + \sum_{j=0}^k \alpha_j n^j$, where $G_...
The Fibonacci and Lucas sequences Fn and Ln are dened by the recurrence relation
The Fibonacci sequence can be used as a starting point for an interesting project or research experi...
will be produced in a year, beginning with a single pair, if in every month each pair bears a new pa...
A second order recurrence relation Fn is called Fibonacci sequence if it satisfies that F0=0, F1=1, ...
AbstractAll our words (sequences) are binary. A square is a subword of the form uu (concatenation). ...
together with the particular values (2) FQ = 0, F1 = 1. It is easily verified that the unique soluti...
Abstract: The coupled Fibonacci Sequences are first Introduced by K.T.Atanassov in 1985.Sequences ha...
AbstractGiven a set of sequences defined by linear recurrence relations 1 method is described for fi...
A second order recurrence relation Fn is called Fibonacci sequence if it satisfies that F0=0, F1=1, ...
Let P and Q be nonzero integers. The generalized Fibonacci and Lucas sequences are defined respectiv...
Abstract: Let n be an integer. A set of positive integers is said to have the property D(n) if the p...
These notes put on record part of the contents of a conversation the first author had with John Conw...
We consider the recurrence relation $G_n = G_{n-1} + G_{n-2} + \sum_{j=0}^k \alpha_j n^j$, where $G_...
Let $\sigma_k(n)$ be the sum of the $k$th powers of the divisors of $n$. Here, we prove that if $(F_...
We consider the recurrence relation $G_n = G_{n-1} + G_{n-2} + \sum_{j=0}^k \alpha_j n^j$, where $G_...