33133: Near Repdigit Palindrome 33..33133..33

First few terms (base 10): \[[3^*13^*_7]_n=\{1,157,8305,411085,20172001,\ldots\}\]

First few terms (base 7): \[\{\text{1},\text{313},\text{33133},\text{3331333},\text{333313333},\ldots\}\]

General Formula:\[[3^*13^*_7]_n={7\cdot7^{2n}-4\cdot7^{n}-1\over2}\]

Equivalent Patterns: \[[6^*26^*_7]_n=2\cdot[3^*13^*_7]_n\]

Table

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