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Given ANY number, it is easy to find a polynomial of order 4 such that if you use it as a position to value rule you get the four given numbers and your chosen one as the fifth. As a result, any number can be the next in the sequence.

The simplest polynomial of order 3 for the above four numbers is:

Un = (-3n3 + 32n2 - 57n + 34)/2 for n = 1, 2, 3, ...

Accordingly, the next number is 87.

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