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To re create the table above we can add piecewise terms. \begin{equation}  M_{ij}=-\delta^i_j\sum_{k=1}^jP-k+\delta^i_{j-1}\sum_{k=1}^jP_{k+1}\pi(P_{k+1}-1)  -\sum_{k=1}^j P_{k+2}\pi(P_{(k^2+k+2)/2}-1) -\delta^i_{j-2}\sum_{k=1}^j P_{k+2}\pi(P_{(k^2+k+2)/2}-1)+\dots  \end{equation}