A124220 Transpose table A123685 then subtract, term by term, from table A047969.
0, 1, 0, 0, 2, 0, 1, 1, 4, 0, 0, 5, 5, 8, 0, 1, 2, 23, 19, 16, 0, 0, 8, 18, 101, 65, 32, 0, 1, 3, 58, 110, 431, 211, 64, 0
Offset: 1
Examples
Row six of A047969 is 1 9 37 65 31 1 Row six of A123685^T is 0 7 14 46 15 1 so row six of a(n) is 1 2 23 19 16 0