import pandas as pd

# create a sample DataFrame
df = pd.DataFrame({'a': [1, 2, 3, 4], 'b': [5, 6, 7, 8], 'c': [9, 10, 11, 12]})

# define a rolling window of size 2
rolling_window = df.rolling(window=2)

# compute the correlation between each row and the succeeding row within the rolling window
correlations = rolling_window.corr().iloc[1::2, 0]
print(correlations)