10111: Near Repdigit 1011..11

First few terms (base 10): \[[101^*_5]_n=\{5,26,131,656,3281,\ldots\}\]

First few terms (base 5): \[\{\text{10},\text{101},\text{1011},\text{10111},\text{101111},\ldots\}\]

General Formula:\[[101^*_5]_n={21\cdot5^{n}-1\over4}\]

Equivalent Patterns: \[[202^*_5]_n=2\cdot[101^*_5]_n\] \[[404^*_5]_n=4\cdot[101^*_5]_n\] \[[303^*_5]_n=3\cdot[101^*_5]_n\]

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