Journal of Integer Sequences, Vol. 10 (2007), Article 07.5.1 |

Department of Mathematics

University of Evansville

1800 Lincoln Avenue

Evansville, IN 47722

USA

**Abstract:**

Suppose and are integers, and let be the set of
integers
, where and range
over the nonnegative integers. Assume that and are multiplicatively
independent; that is,
if and are integers for which then
. The numbers in form interspersions in various ways. Related
fractal sequences and permutations of the set of nonnegative integers are
also discussed.

(Concerned with sequences A007337 A022447 A114537 A114577 A120862 A120863 A124904 A124905 A124906 A124907 A124908 A124909 A124910 A124911 A124912 A124913 A124914 A124915 A124916 A124917 A124918 A124919 A125150 A125151 A125152 A125153 A125154 A125155 A125156 A125157 A125158 A125159 A125160 and A125161 .)

Received December 30 2006;
revised version received May 4 2007.
Published in *Journal of Integer Sequences* May 6 2007.

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