11112: Near Repdigit 11..112

First few terms (base 10): \[[1^*2_9]_n=\{2,11,92,821,7382,\ldots\}\]

First few terms (base 9): \[\{\text{2},\text{12},\text{112},\text{1112},\text{11112},\ldots\}\]

General Formula:\[[1^*2_9]_n={9\cdot9^{n}+7\over8}\]

Equivalent Patterns: \[[2^*4_9]_n=2\cdot[1^*2_9]_n\] \[[4^*8_9]_n=4\cdot[1^*2_9]_n\] \[[10^*7_9]_n=8\cdot[1^*2_9]_n\] \[[3^*6_9]_n=3\cdot[1^*2_9]_n\]

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