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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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11y ago

What else can I help you with?