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Sequence Dispersion


An array B=b_(ij), i,j>=1 of positive integers is called a dispersion if

1. The first column of B is a strictly increasing sequence, and there exists a strictly increasing sequence {s_k} such that

2. b_(12)=s_1>=2,

3. The complement of the set {b_(i1):i>=1} is the set {s_k},

4. b_(ij)=s_(b_(i,j-1)) for all j>=3 for i=1 and for all g>=2 for all i>=2.

If an array B=b_(ij) is a dispersion, then it is an interspersion.


See also

Interspersion

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References

Kimberling, C. "Interspersions and Dispersions." Proc. Amer. Math. Soc. 117, 313-321, 1993.

Referenced on Wolfram|Alpha

Sequence Dispersion

Cite this as:

Weisstein, Eric W. "Sequence Dispersion." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SequenceDispersion.html

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