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It is possible to find a polynomial of order 7 which will predict any number of your choice as the next number.
The following polynomial of order 6:
U6 = (6n6 - 142n5 + 1325n4 - 6180n3 + 15004n2 - 17663n + 7890)/30 will fit the above points and, for n = 8, predicts the next number as 323.
Alternatively, you have two inter-spliced series: odd terms increasing by one, even terms decreasing by one. Accordingly, the next term is 3.
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