10111: Near Repdigit 1011..11

First few terms (base 10): \[[101^*_6]_n=\{6,37,223,1339,8035,\ldots\}\]

First few terms (base 6): \[\{\text{10},\text{101},\text{1011},\text{10111},\text{101111},\ldots\}\]

General Formula:\[[101^*_6]_n={31\cdot6^{n}-1\over5}\]

Equivalent Patterns: \[[505^*_6]_n=5\cdot[101^*_6]_n\] \[[202^*_6]_n=2\cdot[101^*_6]_n\] \[[303^*_6]_n=3\cdot[101^*_6]_n\] \[[404^*_6]_n=4\cdot[101^*_6]_n\]

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