Maybe you want something like this:
ROWS = 5
COLUMNS = 5
table = [[1 if i%2==0 else 0 for i in range(COLUMNS)] for j in range(ROWS)]
for row in table:
for cell in row:
print (cell, end=' ')
print()
1 0 1 0 1
1 0 1 0 1
1 0 1 0 1
1 0 1 0 1
1 0 1 0 1
OR maybe:
table = [[(i+j)%2 for i in range(COLUMNS)] for j in range(ROWS)]
0 1 0 1 0
1 0 1 0 1
0 1 0 1 0
1 0 1 0 1
0 1 0 1 0