23333: Near Repdigit 233..33

First few terms (base 10): \[[23^*_8]_n=\{2,19,155,1243,9947,\ldots\}\]

First few terms (base 8): \[\{\text{2},\text{23},\text{233},\text{2333},\text{23333},\ldots\}\]

General Formula:\[[23^*_8]_n={17\cdot8^{n}-3\over7}\]

Equivalent Patterns: \[[72^*1_8]_n=3\cdot[23^*_8]_{n+1}\] \[[46^*_8]_n=2\cdot[23^*_8]_n\]

Table

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