For an integer k ≥ 2, let be the k-Fibonacci sequence which starts with 0,..., 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.
@article{bwmeta1.element.bwnjournal-article-doi-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 Mathematicae},
volume = {139},
year = {2015},
pages = {107-118},
zbl = {1339.11011},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm140-1-9}
}
Jhon J. Bravo; Carlos A. Gómez; Florian Luca. On the distance between generalized Fibonacci numbers. Colloquium Mathematicae, Tome 139 (2015) pp. 107-118. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm140-1-9/