The cell (1,1) contains as values for a and b the values of two consecutive squares added together.

0+1 = 1

1+4 = 5

4+9 = 13

9+16 = 25

>>7395

The n values in (0,n) where a and b are squares appear as the d values in (1,1).

Take a cell in (e,1). This holds for any cell in (e,1).

If it's even, its b values will appear as the d values in (e+1,1), and the a values from (e-1,1) will appear as its d values.

If it's odd, its a values will appear as the d values in (e+1,1), and the b values from (e-1,1) will appear as its d values.

Take a look at the picture as an example. In (3,1), the a values (2, 6, 14, 26, 42, 62, 86) are identical to the d values in (4,1), and the d values (3, 9, 19, 33, 51, 73, 99) are identical to the b values in (2,1). Likewise with (4,1), except (5,1)'s ds are its b values and (3,1)'s as are its d values.

>>7408

They also appear as the a values in (0,1) (and technically the b values but beginning from 8 rather than 2).