Infinitive Sequence

A sequence {x_n} is called an infinitive sequence if, for every i, x_n=i for infinitely many n. Write a(i,j) for the jth index n for which x_n=i. Then as i and j range through N, the array A=a(i,j), called the associative array of x, ranges through all of N.

See also

Associative Array, Fractal Sequence

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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.

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