11113: Near Repdigit 11..113

First few terms (base 10): \[[1^*3_4]_n=\{3,7,23,87,343,\ldots\}\]

First few terms (base 4): \[\{\text{3},\text{13},\text{113},\text{1113},\text{11113},\ldots\}\]

General Formula:\[[1^*3_4]_n={4\cdot4^{n}+5\over3}\]

Equivalent Patterns: \[[2^*32_4]_n=2\cdot[1^*3_4]_{n+1}\]

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