0
If you use the rule:
Un = (471n5 - 7765n4 + 46980n3 - 126380n2 + 144204n - 43080)/30 then the next number is 5340.
That is the simplest polynomial solution. There are infinitely many polynomials of order 6 that will give any value you want as the missing number.
Alternatively, you could go for 444.
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