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It is possible to find a polynomial of degree 5 such that it can be made to fit the pattern of the above five numbers and any number at all that is chosen to be the eighth.

However, the simplest polynomial of degree 4 is

Un = 36n4 - 336n3 + 1128n2 - 1568n + 741 for n = 1, 2, 3, ...

and accordingly, the 8th term is 35,813.

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Q: What is the 8th term in the pattern 1 5 33 229 1601?
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