Geodesic
Interspersions and fractal sequences associated with fractions \(c^j/d^k\)
Journal of integer sequences, Tome 10 (2007) no. 5
Suppose $c\geq 2$ and $d\geq 2$ are integers, and let $S$ be the set of integers $\left\lfloor c^j/d^k\right\rfloor$, where $j$ and $k$ range over the nonnegative integers. Assume that $c$ and $d$ are multiplicatively independent; that is, if $p$ and $q$ are integers for which $c^p=d^q,$ then $p=q=0$. The numbers in $S$ form interspersions in various ways. Related fractal sequences and permutations of the set of nonnegative integers are also discussed.
Classification : 11B99
Keywords: interspersion, fractal sequence 
@article{JIS_2007__10_5_a5,
     author = {Kimberling,  Clark},
     title = {Interspersions and fractal sequences associated with fractions \(c^j/d^k\)},
     journal = {Journal of integer sequences},
     year = {2007},
     volume = {10},
     number = {5},
     zbl = {1140.11316},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2007__10_5_a5/}
}
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Kimberling,  Clark. Interspersions and fractal sequences associated with fractions \(c^j/d^k\). Journal of integer sequences, Tome 10 (2007) no. 5. http://geodesic.mathdoc.fr/item/JIS_2007__10_5_a5/