11131: Near Repdigit 11..1131

First few terms (base 10): \[[1^*31_7]_n=\{22,71,414,2815,19622,\ldots\}\]

First few terms (base 7): \[\{\text{31},\text{131},\text{1131},\text{11131},\text{111131},\ldots\}\]

General Formula:\[[1^*31_7]_n={49\cdot7^{n}+83\over6}\]

Equivalent Patterns: \[[2^*62_7]_n=2\cdot[1^*31_7]_n\]

Table

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