11113: Near Repdigit 11..113

First few terms (base 10): \[[1^*3_8]_n=\{3,11,75,587,4683,\ldots\}\]

First few terms (base 8): \[\{\text{3},\text{13},\text{113},\text{1113},\text{11113},\ldots\}\]

General Formula:\[[1^*3_8]_n={8\cdot8^{n}+13\over7}\]

Equivalent Patterns: \[[2^*6_8]_n=2\cdot[1^*3_8]_n\] \[[4^*54_8]_n=4\cdot[1^*3_8]_{n+1}\]

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