Geodesic
On the distance between generalized Fibonacci numbers
Jhon J. Bravo1 ; Carlos A. Gómez2 ; Florian Luca3
1 Departamento de Matemáticas Universidad del Cauca Calle 5 No. 4–70 Popayán, Colombia
2 Departamento de Matemáticas Universidad del Valle Calle 13 No. 100–00 Cali, Colombia
3 School of Mathematics University of the Witwatersrand P.O. Box Wits 2050 Johannesburg, South Africa
Colloquium Mathematicum, Tome 140 (2015) no. 1, pp. 107-118.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

For an integer $k\geq 2$, let $(F_{n}^{(k)})_{n}$ be the $k$-Fibonacci sequence which starts with $0,\ldots ,0,1$ ($k$ terms) and each term afterwards is the sum of the $k$ preceding terms. This paper completes a previous work of Marques (2014) which investigated the spacing between terms of distinct $k$-Fibonacci sequences.
DOI : 10.4064/cm140-1-9
Keywords: integer geq k fibonacci sequence which starts ldots terms each term afterwards sum preceding terms paper completes previous work marques which investigated spacing between terms distinct k fibonacci sequences

Jhon J. Bravo 1 ; Carlos A. Gómez 2 ; Florian Luca 3

1 Departamento de Matemáticas Universidad del Cauca Calle 5 No. 4–70 Popayán, Colombia
2 Departamento de Matemáticas Universidad del Valle Calle 13 No. 100–00 Cali, Colombia
3 School of Mathematics University of the Witwatersrand P.O. Box Wits 2050 Johannesburg, South Africa 
@article{10_4064_cm140_1_9,
     author = {Jhon J. Bravo and Carlos A. G\'omez and Florian Luca},
     title = {On the distance between
 generalized {Fibonacci} numbers},
     journal = {Colloquium Mathematicum},
     pages = {107--118},
     publisher = {mathdoc},
     volume = {140},
     number = {1},
     year = {2015},
     doi = {10.4064/cm140-1-9},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm140-1-9/}
}
TY  - JOUR
AU  - Jhon J. Bravo
AU  - Carlos A. Gómez
AU  - Florian Luca
TI  - On the distance between
 generalized Fibonacci numbers
JO  - Colloquium Mathematicum
PY  - 2015
SP  - 107
EP  - 118
VL  - 140
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm140-1-9/
DO  - 10.4064/cm140-1-9
LA  - en
ID  - 10_4064_cm140_1_9
ER  - 
%0 Journal Article
%A Jhon J. Bravo
%A Carlos A. Gómez
%A Florian Luca
%T On the distance between
 generalized Fibonacci numbers
%J Colloquium Mathematicum
%D 2015
%P 107-118
%V 140
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm140-1-9/
%R 10.4064/cm140-1-9
%G en
%F 10_4064_cm140_1_9
Jhon J. Bravo; Carlos A. Gómez; Florian Luca. On the distance between
 generalized Fibonacci numbers. Colloquium Mathematicum, Tome 140 (2015) no. 1, pp. 107-118. doi : 10.4064/cm140-1-9. http://geodesic.mathdoc.fr/articles/10.4064/cm140-1-9/

Cité par Sources :