The next number is 0.
The position to value rule is
Un = (-n4 + 9n3 - 17n2 - 15n + 54)/6 for n = 1, 2, 3, ...
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The next four number in the sequence are... 4,5,5 & 6
Consecutive terms in the sequence are being divided by -2. Therefore, -1 / -2 = 1/2 or 0.5.
The next number is 39. The position to value rule is: Un = (7n4 - 89n3 + 392n2 - 694n + 438)/6 for n = 1, 2, 3, ...
64
6