44447: Near Repdigit 44..447

First few terms (base 10): \[[4^*7_9]_n=\{7,43,367,3283,29527,\ldots\}\]

First few terms (base 9): \[\{\text{7},\text{47},\text{447},\text{4447},\text{44447},\ldots\}\]

General Formula:\[[4^*7_9]_n={9\cdot9^{n}+5\over2}\]

Equivalent Patterns: \[[10^*5_9]_n=2\cdot[4^*7_9]_n\]

Table

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