41111: Near Repdigit 411..11

First few terms (base 10): \[[41^*_9]_n=\{4,37,334,3007,27064,\ldots\}\]

First few terms (base 9): \[\{\text{4},\text{41},\text{411},\text{4111},\text{41111},\ldots\}\]

General Formula:\[[41^*_9]_n={33\cdot9^{n}-1\over8}\]

Equivalent Patterns: \[[82^*_9]_n=2\cdot[41^*_9]_n\] \[[13^*_9]_n=3\cdot[41^*_9]_{n-1}\] \[[26^*_9]_n=6\cdot[41^*_9]_{n-1}\] \[[54^*3_9]_n=12\cdot[41^*_9]_n\] \[[67^*6_9]_n=15\cdot[41^*_9]_n\]

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