10111: Near Repdigit 1011..11

First few terms (base 10): \[[101^*_4]_n=\{4,17,69,277,1109,\ldots\}\]

First few terms (base 4): \[\{\text{10},\text{101},\text{1011},\text{10111},\text{101111},\ldots\}\]

General Formula:\[[101^*_4]_n={13\cdot4^{n}-1\over3}\]

Equivalent Patterns: \[[303^*_4]_n=3\cdot[101^*_4]_n\] \[[202^*_4]_n=2\cdot[101^*_4]_n\]

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