The Pseudorandom number sequence reference article from the English Wikipedia on 24-Jul-2004
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Pseudorandom number sequence

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A Pseudorandom number sequence is a sequence of numbers that has been computed by some defined arithmetic process but is effectively a random number sequence for the purpose for which it is required.

Although a pseudorandom number sequence in this sense often appears to lack any definite pattern, any pseudorandom number generator with a finite internal state will repeat after a very long sequence of numbers. This can be proved using the pigeonhole principle.

See also: Pseudorandom number generator.