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 Sequence## Explore with Wolfram|Alpha

## References

Kimberling, C. "Fractal Sequences and Interspersions."*Ars Combin.*

**45**, 157-168, 1997.

## Referenced on Wolfram|Alpha

Infinitive Sequence## Cite this as:

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