def my_func(x):
    if len(x) == 1:
        b.append(x[0])
        return x[0]
    element = x[-1]+0.8*my_func(x[:-1])
    b.append(element)
    return element
b= []
my_func(list(a))

new_series=[]
cur_val=1
for ele in a:
    cur_val=ele+cur_val**0.8
    new_series.append(cur_val)