Is it possible without using parallelization (Swifter, Parallel) to make an instant calculation immediately without passing through the index?

Question

Is it possible without using parallelization (Swifter, Parallel) to make an instant calculation immediately without passing through the index, for example through the use of the "apply"-function for all dataset?

%%time
import random
df = pd.DataFrame({'A':random.sample(range(200), 200)})

for j in range(200):
    for i in df.index:
        df.loc[i,'A_last_{}'.format(j)] = df.loc[(df.index < i) & (df.index >= i - j),'A'].mean()

Answer 1

%%time
import random
df = pd.DataFrame({'A':random.sample(range(200), 200)})

First calculate the sums.

df[1] = df['A'].shift()
for j in range(2, 200):
    df[j] = df[j-1].fillna(0) + df['A'].shift(j)

Then do the division for means and take care of the formatting

df = df.set_index('A')
df.divide(df.columns, axis=1)\
    .fillna(method='ffill', axis=1)\
    .rename(lambda x: f'A_last_{x}', axis=1)\
    .reset_index()