33233: Near Repdigit Palindrome 33..33233..33

First few terms (base 10): \[[3^*23^*_7]_n=\{2,164,8354,411428,20174402,\ldots\}\]

First few terms (base 7): \[\{\text{2},\text{323},\text{33233},\text{3332333},\text{333323333},\ldots\}\]

General Formula:\[[3^*23^*_7]_n={7\cdot7^{2n}-2\cdot7^{n}-1\over2}\]

Equivalent Patterns: \[[6^*46^*_7]_n=2\cdot[3^*23^*_7]_n\]

Table

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