A037135 Number of ways of writing n=a+b where |s(a)-a|=|s(b)-b|, s(x)=sigma(x)-x.

0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 3, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 4, 1, 1, 3, 2, 0, 1, 1, 4, 2, 2, 1, 1, 0, 3, 0, 2, 2, 1, 1, 3, 2, 2, 0, 3, 0, 3, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 4, 0, 2, 1, 3, 0, 4