12111: Near Repdigit 1211..11

First few terms (base 10): \[[121^*_7]_n=\{9,64,449,3144,22009,\ldots\}\]

First few terms (base 7): \[\{\text{12},\text{121},\text{1211},\text{12111},\text{121111},\ldots\}\]

General Formula:\[[121^*_7]_n={55\cdot7^{n}-1\over6}\]

Equivalent Patterns: \[[242^*_7]_n=2\cdot[121^*_7]_n\] \[[363^*_7]_n=3\cdot[121^*_7]_n\]

Table

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