On the distance between generalized Fibonacci numbers
Tom 140 / 2015
Colloquium Mathematicum 140 (2015), 107-118
MSC: Primary 11B39; Secondary 11J86.
DOI: 10.4064/cm140-1-9
Streszczenie
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.
