11113: Near Repdigit 11..113

First few terms (base 10): \[[1^*3_7]_n=\{3,10,59,402,2803,\ldots\}\]

First few terms (base 7): \[\{\text{3},\text{13},\text{113},\text{1113},\text{11113},\ldots\}\]

General Formula:\[[1^*3_7]_n={7\cdot7^{n}+11\over6}\]

Equivalent Patterns: \[[2^*6_7]_n=2\cdot[1^*3_7]_n\]

Table

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