Add to ORKGWe consider the recurrence relation $G_n = G_{n-1} + G_{n-2} + \sum_{j=0}^k \alpha_j n^j$, where $G_0 = G_1 = 1$, and we express $G_n$ in terms of the Fibonacci numbers $F_n$ and $F_{n-1}$, and in the parameters $\alpha_1,\ldots,\alpha_k$
Abstract The Fibonacci sequence, Lucas numbers and their generalization have many interesting proper...
AbstractThe recursive relation g(n) = n − g(g(n − 1)), g(0) = 0, appears in the context of Fibonacci...
Convergence or divergence and grawth rate are studied for sequences defined by a recurrence law that...
We consider the recurrence relation $G_n = G_{n-1} + G_{n-2} + \sum_{j=0}^k \alpha_j n^j$, where $G_...
We consider the family of difference equations $H_n = H_{n-1} + H_{n-2} + \sum_{j=0}^k \gamma n^{(j)...
We consider the family of difference equations Hn = H{n-1} + H{n-2} + $\sum_{j=0}^k$ γjn{(j)} with H...
This paper considers some properties of types of recurrence relations which generalize the well-know...
Let {ai, j} be real numbers for 0 ≤ i ≤ r - 1 and 1 ≤ j ≤ 2, and define a sequence {vn} with initial...
The Fibonacci sequence can be used as a starting point for an interesting project or research experi...
We study the extension problem of a given sequence defined by a finite order recurrence to a sequenc...
Fibonacci sequence is a well known example of second order linear recurrence relatio. Besides Fibona...
this paper is to characterize linear binary recursive sequences which possess the similar property a...
Abstract. We examine integer sequences G satisfying the Fibonacci recurrence relation Gn = Gn−1 + Gn...
AbstractGiven a set of sequences defined by linear recurrence relations 1 method is described for fi...
The sequence of Fibonacci numbers is defined by F0 = 0, Fj = 1, and F 9 = F + n+2 n F,- (n ^ 0), and...
Abstract The Fibonacci sequence, Lucas numbers and their generalization have many interesting proper...
AbstractThe recursive relation g(n) = n − g(g(n − 1)), g(0) = 0, appears in the context of Fibonacci...
Convergence or divergence and grawth rate are studied for sequences defined by a recurrence law that...
We consider the recurrence relation $G_n = G_{n-1} + G_{n-2} + \sum_{j=0}^k \alpha_j n^j$, where $G_...
We consider the family of difference equations $H_n = H_{n-1} + H_{n-2} + \sum_{j=0}^k \gamma n^{(j)...
We consider the family of difference equations Hn = H{n-1} + H{n-2} + $\sum_{j=0}^k$ γjn{(j)} with H...
This paper considers some properties of types of recurrence relations which generalize the well-know...
Let {ai, j} be real numbers for 0 ≤ i ≤ r - 1 and 1 ≤ j ≤ 2, and define a sequence {vn} with initial...
The Fibonacci sequence can be used as a starting point for an interesting project or research experi...
We study the extension problem of a given sequence defined by a finite order recurrence to a sequenc...
Fibonacci sequence is a well known example of second order linear recurrence relatio. Besides Fibona...
this paper is to characterize linear binary recursive sequences which possess the similar property a...
Abstract. We examine integer sequences G satisfying the Fibonacci recurrence relation Gn = Gn−1 + Gn...
AbstractGiven a set of sequences defined by linear recurrence relations 1 method is described for fi...
The sequence of Fibonacci numbers is defined by F0 = 0, Fj = 1, and F 9 = F + n+2 n F,- (n ^ 0), and...
Abstract The Fibonacci sequence, Lucas numbers and their generalization have many interesting proper...
AbstractThe recursive relation g(n) = n − g(g(n − 1)), g(0) = 0, appears in the context of Fibonacci...
Convergence or divergence and grawth rate are studied for sequences defined by a recurrence law that...