31111: Near Repdigit 311..11

First few terms (base 10): \[[31^*_4]_n=\{3,13,53,213,853,\ldots\}\]

First few terms (base 4): \[\{\text{3},\text{31},\text{311},\text{3111},\text{31111},\ldots\}\]

General Formula:\[[31^*_4]_n={10\cdot4^{n}-1\over3}\]

Equivalent Patterns: \[[12^*_4]_n=2\cdot[31^*_4]_{n-1}\]

Table

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