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 .

**References**

Kimberling, C. ``Fractal Sequences and Interspersions.'' *Ars Combin.* **45**, 157-168, 1997.

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1999-05-26