Question 864898
If you were to add 1 to each number in the y column, you'd get



1+1=2
3+1=4
7+1=8
15+1=16
31+1=32
63+1=64
127+1=128
255+1=256
511+1=512
1023 +1=1024



So these are powers of 2. For instance, 4 = 2^2, 16 = 2^4, 256 = 2^8, etc



To get back to the original y list, we just subtract off 1 from the power of 2. Example: 1023 = (2^10) - 1 = 1024 - 1



So the overall equation is {{{y = 2^x - 1}}}