It is possible to find infinitely many polynomials of order 5 such that the first five numbers are as listed in the question and any selected number is the next. There are also non-polynomial solutions.
The simplest polynomial of order 4 is
Un = (n^4 - 2n^3 + 11n^2 - 58n + 144)/24 for n = 1, 2, 3, ...
and accordingly, the next number in the sequence is 44.
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The next number is -21
21
57
Answer = 21 The next number is the previous 2 numbers added together
The next number in the sequence 3-15-6-30-21 is -207.