I didn't use a graphics calculator to arrive at my solution.

I noice that the numbers are all 2^x if you write out the x in sequence you get the follwing:

0 1 1 0 1 1 2 1 3 2 5 3 8

3rd term = 2nd term + 1st term
4th term = 3rd term - 2nd term
5th term = 4th term + 3rd term
6th term = 5th term - 4th term

therfore the next three terms are 5 (8-3), 13 (5+8) & 8 (13-5)
which gives 2^5=32, 2^13=8192, 2^8=256