13333: Near Repdigit 133..33

First few terms (base 10): \[[13^*_4]_n=\{1,7,31,127,511,\ldots\}\]

First few terms (base 4): \[\{\text{1},\text{13},\text{133},\text{1333},\text{13333},\ldots\}\]

General Formula:\[[13^*_4]_n=2\cdot4^{n}-1\]

Equivalent Patterns: \[[3^*2_4]_n=2\cdot[13^*_4]_n\]

Table

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