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Given any number it is easy to find a rule based on a polynomial of order 5 such that the first five numbers are as listed in the question and the nth is the given number. There are also non-polynomial solutions.

The simplest polynomial of smaller order is:

Un = (n2 + n + 4)/2 for n = 1, 2, 3, ...

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10y ago

What else can I help you with?