11117: Near Repdigit 11..117

First few terms (base 10): \[[1^*7_9]_n=\{7,16,97,826,7387,\ldots\}\]

First few terms (base 9): \[\{\text{7},\text{17},\text{117},\text{1117},\text{11117},\ldots\}\]

General Formula:\[[1^*7_9]_n={9\cdot9^{n}+47\over8}\]

Equivalent Patterns: \[[3^*53_9]_n=3\cdot[1^*7_9]_{n+1}\]

Table

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