I have in the back of my head the statement that for every finite sequence of positive integers there exists a pattern (i.e., a generating formula). While this sounds reasonable, I am not sure whether it is true, and if it is true, what the source for this statement is, and how the correct statement is correctly formulated. A somewhat stronger statement would be that for every finite sequence of integers there is a pattern that one can theoretically find, and comments on that would also be appreciated if the first statement is correct.(adsbygoogle = window.adsbygoogle || []).push({});

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# I For every finite integer sequence there's a pattern- source?

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