33335: Near Repdigit 33..335

First few terms (base 10): \[[3^*5_6]_n=\{5,23,131,779,4667,\ldots\}\]

First few terms (base 6): \[\{\text{5},\text{35},\text{335},\text{3335},\text{33335},\ldots\}\]

General Formula:\[[3^*5_6]_n={18\cdot6^{n}+7\over5}\]

Equivalent Patterns: \[[1^*4_6]_n=2\cdot[3^*5_6]_{n-1}\] \[[2^*32_6]_n=4\cdot[3^*5_6]_n\]

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