How to do pandas rolling window in both forward and backward at the same time

I have a pd.DataFrame df with one column, say:

A = [1,2,3,4,5,6,7,8,2,4]
df = pd.DataFrame(A,columns = ['A'])

For each row, I want to take previous 2 values, current value and next 2 value (a window= 5) and get the sum and store it in new column. Desire output,

   A  A_sum
  1      6
  2     10
  3     15
  4     20
  5     25
  6     30
  7     28
  8     27
  2     21
  4     14

I have tried,

1. df['A_sum'] = df['A'].rolling(2).sum()
2. Tried with shift, but all doing either forward or backward, I’m looking for a combination of both.

>Solution :

Use rolling by 5, add parameter center=True and min_periods=1 to Series.rolling:

df['A_sum'] =  df['A'].rolling(5, center=True, min_periods=1).sum()
print (df)
   A  A_sum
0  1    6.0
1  2   10.0
2  3   15.0
3  4   20.0
4  5   25.0
5  6   30.0
6  7   28.0
7  8   27.0
8  2   21.0
9  4   14.0