41111: Near Repdigit 411..11

First few terms (base 10): \[[41^*_6]_n=\{4,25,151,907,5443,\ldots\}\]

First few terms (base 6): \[\{\text{4},\text{41},\text{411},\text{4111},\text{41111},\ldots\}\]

General Formula:\[[41^*_6]_n={21\cdot6^{n}-1\over5}\]

Equivalent Patterns: \[[12^*_6]_n=2\cdot[41^*_6]_{n-1}\] \[[24^*_6]_n=4\cdot[41^*_6]_{n-1}\] \[[53^*2_6]_n=8\cdot[41^*_6]_n\]

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