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Given any number, it is possible to find a polynomial of degree 5 that will generate the above sequence of numbers and the additional sixth. There are also non-polynomial rules possible.

The polynomial of degree 4 that will generate this sequence is

Un = (103n4 - 1242n3 + 5201n2 - 8670n + 4680)/24 for n = 1, 2, 3, ... and, according to this rule, the next number is 213.

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11y ago

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