arr = [1 for x in range(10)]
print arr
[1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
from math import sqrt
map(lambda(x,y): y * (sqrt(2) ** (x + 1)), enumerate(arr))
[1.4142135623730951, 2.0000000000000004, 2.8284271247461907, 4.000000000000001, 5.656854249492382, 8.000000000000004, 11.313708498984766, 16.000000000000007, 22.627416997969533, 32.00000000000002]