A sequence 
is called an infinitive sequence if, for every 
, 
for infinitely many 
. Write 
for the 
th index 
for which 
. Then as 
and 
range through 
, the array 
, called the associative
array of 
,
ranges through all of 
.
Infinitive Sequence
See also
Associative Array, Fractal SequenceExplore with Wolfram|Alpha
References
Kimberling, C. "Fractal Sequences and Interspersions." Ars Combin. 45, 157-168, 1997.Referenced on Wolfram|Alpha
Infinitive SequenceCite this as:
Weisstein, Eric W. "Infinitive Sequence." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/InfinitiveSequence.html