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Given any number it is easy to find a polynomial rule of order 5 such that the first five numbers are as listed in the question and the sixth is the given number. That is, I can find a rule so that any number can be the "next" in the sequence.
The simplest solution, using a cubic equation is
Un = n3 + n2 + n for n =1, 2, 3, ...
Accordingly, the next term is 258.
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