A131767 2*A007318 - A065941.
1, 1, 1, 1, 3, 1, 1, 5, 4, 1, 1, 7, 9, 6, 1, 1, 9, 16, 17, 7, 1, 1, 11, 25, 36, 24, 9, 1, 1, 13, 36, 65, 60, 36, 10, 1, 1, 15, 49, 106, 125, 102, 46, 12, 1, 1, 17, 64, 161, 231, 237, 148, 62, 13, 1
Offset: 0
Examples
First few rows of the triangle are: 1; 1, 1; 1, 3, 1; 1, 5, 4, 1; 1, 7, 9, 6, 1; 1, 9, 16, 17, 7, 1; 1, 11, 25, 36, 24, 9, 1; ...