Conjectured sequence of generic Milnor numbers for homogeneous singularities

Let $f_{0}$ be a homogeneous singularity of degree $d$ with generic coefficients. Let $4\mathcal{M}(f_{0})4$ denote the sequence of possible generic Milnor numbers.

Generic Milnor number sequence conjecture.

$$\mathcal{M}(f_{0})=((d-1)^{2},(d-1)^{2}-(d-2),\ldots,1,0).$$

The paper presents this as the full sequence that would follow if the conjectured value of the first nontrivial entry $4\mu_{1}4$ is correct. Its status is therefore open for generic homogeneous singularities.