44443: Near Repdigit 44..443

First few terms (base 10): \[[4^*3_7]_n=\{3,31,227,1599,11203,\ldots\}\]

First few terms (base 7): \[\{\text{3},\text{43},\text{443},\text{4443},\text{44443},\ldots\}\]

General Formula:\[[4^*3_7]_n={14\cdot7^{n}-5\over3}\]

Equivalent Patterns: \[[16^*2_7]_n=3\cdot[4^*3_7]_n\]

Table

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