The sequence of Fibonacci numbers is defined by F0 = 0, Fj = 1, and F 9 = F + n+2 n F,- (n ^ 0), and it is well known that m (1) F = y i J, where m is the greatest integer s§(n- l) / 2. s=0 It can be shown, if we allow negative values of the subscript n that (2) F = (-l)11"1. F.-n n Any sequence satisfying the recurrence relation v n+2 n n+1 is called a "generalized Fibonacci sequence. " As soon as the values of any two consecutive t e rms t = p and t- = q have been chosen, one can prove by induction tha
Part 2: Regular PapersInternational audienceWe provide some interesting relations involving k-genera...
In number theory a very famous sequence of numbers is the Fibonacci sequence. It has the form 1, 1,2...
We study the extension problem of a given sequence defined by a finite order recurrence to a sequenc...
Abstract In this study, we present certain properties of Generalized Fibonacci sequence. Generalized...
together with the particular values (2) FQ = 0, F1 = 1. It is easily verified that the unique soluti...
Copyright © 2014 Mamta Singh et al. This is an open access article distributed under the Creative Co...
Abstract The Fibonacci sequence, Lucas numbers and their generalization have many interesting proper...
Let P >= 3 be an integer and let (U-n) denote generalized Fibonacci sequence defined by U-0 = 0, U-1...
A second order recurrence relation Fn is called Fibonacci sequence if it satisfies that F0=0, F1=1, ...
The purposes of this paper are; (a) to develop a relationship between subscripts of the symbols of F...
These notes put on record part of the contents of a conversation the first author had with John Conw...
The purposes of this paper are; (a) to develop a relationship between subscripts of the symbols of F...
For r≥2 and a≥1 integers, let (tn(r,a))n≥1 be the sequence of the (r,a)-generalized Fibonacci number...
La sucesión k-generalizada de Fibonacci [Fórmula] es la sucesiónlineal recurrente de orden k, cuyos...
Part 2: Regular PapersInternational audienceWe provide some interesting relations involving k-genera...
Part 2: Regular PapersInternational audienceWe provide some interesting relations involving k-genera...
In number theory a very famous sequence of numbers is the Fibonacci sequence. It has the form 1, 1,2...
We study the extension problem of a given sequence defined by a finite order recurrence to a sequenc...
Abstract In this study, we present certain properties of Generalized Fibonacci sequence. Generalized...
together with the particular values (2) FQ = 0, F1 = 1. It is easily verified that the unique soluti...
Copyright © 2014 Mamta Singh et al. This is an open access article distributed under the Creative Co...
Abstract The Fibonacci sequence, Lucas numbers and their generalization have many interesting proper...
Let P >= 3 be an integer and let (U-n) denote generalized Fibonacci sequence defined by U-0 = 0, U-1...
A second order recurrence relation Fn is called Fibonacci sequence if it satisfies that F0=0, F1=1, ...
The purposes of this paper are; (a) to develop a relationship between subscripts of the symbols of F...
These notes put on record part of the contents of a conversation the first author had with John Conw...
The purposes of this paper are; (a) to develop a relationship between subscripts of the symbols of F...
For r≥2 and a≥1 integers, let (tn(r,a))n≥1 be the sequence of the (r,a)-generalized Fibonacci number...
La sucesión k-generalizada de Fibonacci [Fórmula] es la sucesiónlineal recurrente de orden k, cuyos...
Part 2: Regular PapersInternational audienceWe provide some interesting relations involving k-genera...
Part 2: Regular PapersInternational audienceWe provide some interesting relations involving k-genera...
In number theory a very famous sequence of numbers is the Fibonacci sequence. It has the form 1, 1,2...
We study the extension problem of a given sequence defined by a finite order recurrence to a sequenc...