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Given any number, x, it is easy to find a rule based on a polynomial of order 6 such that the first six numbers are as listed in the question and the next is the given number. There are also non-polynomial solutions.

However, the simplest polynomial of order 5 is

Un = (471n5 - 7765n4 + 46980n3 - 126380n2 + 144204 - 43080)/30

would give the next number as 5340.

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