释义 |
InterspersionAn Array , of Positive Integers is called an interspersion if - 1. The rows of
comprise a Partition of the Positive Integers, - 2. Every row of
is an increasing sequence, - 3. Every column of
is a (possibly Finite) increasing sequence, - 4. If
and are distinct rows of and if and are any indices for which , then . If an array is an interspersion, then it is a Dispersion. If an array is an interspersion, then the sequence given by for some is a FractalSequence. Examples of interspersion are the Stolarsky Array and Wythoff Array.See also Dispersion (Sequence), Fractal Sequence, Stolarsky Array References
Kimberling, C. ``Interspersions and Dispersions.'' Proc. Amer. Math. Soc. 117, 313-321, 1993.Kimberling, C. ``Fractal Sequences and Interspersions.'' Ars Combin. 45, 157-168, 1997.
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