Interspersions and Fractal Sequences Associated with Fractions c/d

نویسنده

  • Clark Kimberling
چکیده

Suppose c ≥ 2 and d ≥ 2 are integers, and let S be the set of integers ⌊ c/d ⌋ , 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 = d, 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.

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تاریخ انتشار 2007