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 .
See alsoAssociative Array, Fractal Sequence
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ReferencesKimberling, C. "Fractal Sequences and Interspersions." Ars Combin. 45, 157-168, 1997.
Referenced on Wolfram|AlphaInfinitive Sequence
Cite this as:
Weisstein, Eric W. "Infinitive Sequence." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/InfinitiveSequence.html