13111: Near Repdigit 1311..11
First few terms (base 10): \[[131^*_7]_n=\{10,71,498,3487,24410,\ldots\}\]
First few terms (base 7): \[\{\text{13},\text{131},\text{1311},\text{13111},\text{131111},\ldots\}\]
General Formula:\[[131^*_7]_n={61\cdot7^{n}-1\over6}\]
Equivalent Patterns: \[[262^*_7]_n=2\cdot[131^*_7]_n\]
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