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Given any set of 6 numbers it is easy to find a rule based on a polynomial of order 5 such that the polynomial generates those numbers. There are infinitely many polynomials of orders 6, 7, 8 etc and also non-polynomial answers.

One possible answer, out of these infinite possibilities is

Un = (4n5 - 37n4 + 663 + 2415n2 - 730n + 456)/24 for n = 1, 2, 3, ...

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11y ago

What else can I help you with?