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Given any number it is easy to find a rule based on a polynomial of order 4 such that the first four numbers are as listed in the question and the fifth is the given number. That is, it is easy to find a rule so that any number can be the "next" in the sequence.

The simplest rule, based on a polynomial of order 3, is

Un = (323n3 - 1959n2 + 3778n - 2136)/6 for n = 1, 2, 3, ...

and, accordingly, U5 = 1359.

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