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1000 & - & 100010001 \\  \hline  \end{array}  \end{equation}  This leads to three families of numbers associated with the differences, \begin{equation}  [1|0;k|1|0;k|1], \;\;\; k \in \mathbb{N}^0 \\  [8|9;k|1|9;k|2|0;k|1], \;\;\; k \in \mathbb{N}^0 \\  [8|9;k|2|0;k|1|0;k|01], \;\;\; k \in \mathbb{N}^0  \end{equation}