Python, 84 bytes
There's probably room for improvement here. Takes both the array and the length of the array, and returns a map.
lambda a,n:map(lambda u:sum(a[u-(2**len(bin(u+1).split("1")[-1])-1):u+1]),range(n))
Python,
Ginger
- 6k
- 1
- 21
- 54