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/