10111: Near Repdigit 1011..11

First few terms (base 10): \[[101^*_9]_n=\{9,82,739,6652,59869,\ldots\}\]

First few terms (base 9): \[\{\text{10},\text{101},\text{1011},\text{10111},\text{101111},\ldots\}\]

General Formula:\[[101^*_9]_n={73\cdot9^{n}-1\over8}\]

Equivalent Patterns: \[[202^*_9]_n=2\cdot[101^*_9]_n\] \[[404^*_9]_n=4\cdot[101^*_9]_n\] \[[808^*_9]_n=8\cdot[101^*_9]_n\] \[[505^*_9]_n=5\cdot[101^*_9]_n\] \[[707^*_9]_n=7\cdot[101^*_9]_n\] \[[303^*_9]_n=3\cdot[101^*_9]_n\] \[[606^*_9]_n=6\cdot[101^*_9]_n\]

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