TOPICS
Interspersion
An 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 sequence dispersion.
If an array 
is an interspersion, then the sequence 
given by 
for some 
is a fractal sequence.
Examples of interspersion are the Stolarsky array
and Wythoff array.
See also
Fractal Sequence, Sequence Dispersion, Stolarsky ArrayExplore with Wolfram|Alpha
References
Kimberling, C. "Interspersions and Dispersions." Proc. Amer. Math. Soc. 117, 313-321, 1993.Kimberling, C. "The First Column of an Interspersion." Fib. Quart. 32, 301-314, 1994.Kimberling, C. "Fractal Sequences and Interspersions." Ars Combin. 45, 157-168, 1997.Kimberling, C. "Interspersions and Dispersions." https://faculty.evansville.edu/ck6/integer/intersp.html.Referenced on Wolfram|Alpha
InterspersionCite this as:
Weisstein, Eric W. "Interspersion." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Interspersion.html