11112: Near Repdigit 11..112

First few terms (base 10): \[[1^*2_5]_n=\{2,7,32,157,782,\ldots\}\]

First few terms (base 5): \[\{\text{2},\text{12},\text{112},\text{1112},\text{11112},\ldots\}\]

General Formula:\[[1^*2_5]_n={5\cdot5^{n}+3\over4}\]

Equivalent Patterns: \[[2^*4_5]_n=2\cdot[1^*2_5]_n\] \[[10^*3_5]_n=4\cdot[1^*2_5]_n\]

Table

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