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You add two then take one. 1+2=3, 3-1=2, 2+2=4, 4-1=3. The next number is 5.
It could be 34, if you use the position to value rule Un = (-9n4 + 106n3 - 429n2 + 692n - 348)/12 for n = 1, 2, 3, ...
5
The next number is 4, followed by -2
1+1=2 1+2=3 2+3=5 ... 8+13=21