31111: Near Repdigit 311..11

First few terms (base 10): \[[31^*_6]_n=\{3,19,115,691,4147,\ldots\}\]

First few terms (base 6): \[\{\text{3},\text{31},\text{311},\text{3111},\text{31111},\ldots\}\]

General Formula:\[[31^*_6]_n={16\cdot6^{n}-1\over5}\]

Equivalent Patterns: \[[13^*_6]_n=3\cdot[31^*_6]_{n-1}\] \[[4^*3_6]_n=9\cdot[31^*_6]_{n-1}\]

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