21111: Near Repdigit 211..11

First few terms (base 10): \[[21^*_8]_n=\{2,17,137,1097,8777,\ldots\}\]

First few terms (base 8): \[\{\text{2},\text{21},\text{211},\text{2111},\text{21111},\ldots\}\]

General Formula:\[[21^*_8]_n={15\cdot8^{n}-1\over7}\]

Equivalent Patterns: \[[63^*_8]_n=3\cdot[21^*_8]_n\] \[[42^*_8]_n=2\cdot[21^*_8]_n\]

Table

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