10111: Near Repdigit 1011..11

First few terms (base 10): \[[101^*_8]_n=\{8,65,521,4169,33353,\ldots\}\]

First few terms (base 8): \[\{\text{10},\text{101},\text{1011},\text{10111},\text{101111},\ldots\}\]

General Formula:\[[101^*_8]_n={57\cdot8^{n}-1\over7}\]

Equivalent Patterns: \[[707^*_8]_n=7\cdot[101^*_8]_n\] \[[303^*_8]_n=3\cdot[101^*_8]_n\] \[[505^*_8]_n=5\cdot[101^*_8]_n\] \[[202^*_8]_n=2\cdot[101^*_8]_n\] \[[404^*_8]_n=4\cdot[101^*_8]_n\] \[[606^*_8]_n=6\cdot[101^*_8]_n\]

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