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Given any number it is easy to find a polynomial rule of order 6 such that the first six numbers are the above six and the seventh is the given number. That is, I can find a rule so that anynumber can be the "next" in the sequence.
In this case, you can fit the following quartic:
Un = (n4 - 6n3 + 35n2 + 6n - 12)/12 for n = 1, 2, 3, ...
and accordingly, the next number is 174.
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∙ 10y ago
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