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Given any number, it is possible to find a polynomial of order 7 that will fit the above values followed by the selcted number.
You can fit the 6th degree polynomial
Un = (88n6 - 1992n5 + 17515n4 - 75750n3 + 168157n2 - 179298n + 71640)/180 for n = 1, 2, 3, ...
Using this polynomial as the position-to-value rule, the next number is 842.
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