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Let h[n] represent the unit sample response of the system described by the following difference equations:

where x[n] and y[n] represent the n^{\text{th}} samples of the input and output signal, respectively.

Enter the values of h[n] in the boxes below, as Python expressions. Your expressions may contain numbers and n, but no other variables or signals. Assume that the system starts at rest, with y[n]=0 for all n \lt 0.

h[0] =  

h[1] =  

h[2] =  

h[3] =  

For this last question, enter a python expression which uses the variable n.

For n\ge 4, h[n] =