55557: Near Repdigit 55..557

First few terms (base 10): \[[5^*7_8]_n=\{7,47,367,2927,23407,\ldots\}\]

First few terms (base 8): \[\{\text{7},\text{57},\text{557},\text{5557},\text{55557},\ldots\}\]

General Formula:\[[5^*7_8]_n={40\cdot8^{n}+9\over7}\]

Equivalent Patterns: \[[21^*5_8]_n=3\cdot[5^*7_8]_n\] \[[13^*6_8]_n=2\cdot[5^*7_8]_n\]

Table

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