51111: Near Repdigit 511..11

First few terms (base 10): \[[51^*_6]_n=\{5,31,187,1123,6739,\ldots\}\]

First few terms (base 6): \[\{\text{5},\text{51},\text{511},\text{5111},\text{51111},\ldots\}\]

General Formula:\[[51^*_6]_n={26\cdot6^{n}-1\over5}\]

Equivalent Patterns: \[[23^*_6]_n=3\cdot[51^*_6]_{n-1}\]

Table

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