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Given any number it is easy to find a polynomial of degree 4 which will generate the above numbers and the additional one as the first five in a sequence. There are also non-polynomial functions possible. So the short answer is ANY number at all.

The best that can be done with a polynomial of degree 3 is

Un = (1486n3 - 8655n2 + 15701n - 8340)/6 for n = 1, 2, 3, ...

and accordingly, U5 = 6590.

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Q: Which number will follow in the series given 32 55 165 1848?
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