55557: Near Repdigit 55..557

First few terms (base 10): \[[5^*7_9]_n=\{7,52,457,4102,36907,\ldots\}\]

First few terms (base 9): \[\{\text{7},\text{57},\text{557},\text{5557},\text{55557},\ldots\}\]

General Formula:\[[5^*7_9]_n={45\cdot9^{n}+11\over8}\]

Equivalent Patterns: \[[12^*5_9]_n=2\cdot[5^*7_9]_n\] \[[31^*8_9]_n=5\cdot[5^*7_9]_n\]

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