Benedict Irwin edited untitled.tex  about 9 years ago

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-3 & -32 & - \\  -2 & -21 & 11 \\  -1 & -10 & 11 \\  0 & 1 & 21 11  \\ 1 & 12 & 11 \\  2 & 23 & 11 \\  ... & ... & 11 \\ 

\end{array}  \end{equation}  We see here the special numbers $11,101,1001$ forming in the differences. These numbers and their concatenates, $10101, 1001001, ...$ form the repdigit basis. But there are the other numbers $821,89201, 8992001$, which are made by $910-89 , 99100-9899, 9991000-998999, ...$.  These two sets of numbers can be described compactly then by \begin{equation}  1|0;k|1 , \;\;\; k \in \mathbb{Z}^0 \\  8|9;k|2|0;k|, \;\;\; k \in \mathbb{Z}^0  \end{equation}