Enumeration of $\mathcal D$-invariant ideals of the ring $\mathrm{R_n(K,J)}$

Let $K$ be a local ring of the main ideal with a nilpotent maximal ideal $J$. The paper is devoted to finished of solution of problem enumeration of ideals of the ring $K$ of $n\times n$ matrices with coefficients of $J$ on the main diagonal and above it.