Geodesic
On the distance between generalized Fibonacci numbers
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
Colloquium Mathematicum, Tome 140 (2015) no. 1, pp. 107-118 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 
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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

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