11112: Near Repdigit 11..112

First few terms (base 10): \[[1^*2_3]_n=\{2,5,14,41,122,\ldots\}\]

First few terms (base 3): \[\{\text{2},\text{12},\text{112},\text{1112},\text{11112},\ldots\}\]

General Formula:\[[1^*2_3]_n={3\cdot3^{n}+1\over2}\]

Equivalent Patterns: \[[10^*1_3]_n=2\cdot[1^*2_3]_n\] \[[20^*2_3]_n=4\cdot[1^*2_3]_n\]

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