I have a question about efficiency in linear equations.

Imagine I have to evaluate: 2^11 + 2^8 + 2^3 + 2^2

What is the most efficient way to calculate this?
I am thinking about using memoized recursion and apply the function for x in [11, 8, 3, 2]

@memoized
def f(x):
if x==0:
return 1
if x==1:
return 2
elif x==2:
return 4
return 2^2 + f(x-1)

Is it more efficient than evaluating all the expresion in one step? Is it possible to solve it in a more efficient way?

Created at: Feb. 5, 2017, 10:30 a.m.; Updated at: Feb. 22, 2017, 12:48 p.m.