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

First few terms (base 10): \[[3^*13^*_{10}]_n=\{1,313,33133,3331333,333313333,\ldots\}\]

General Formula:\[[3^*13^*_{10}]_n={10\cdot10^{2n}-6\cdot10^{n}-1\over3}\]

Equivalent Patterns: \[[9^*39^*_{10}]_n=3\cdot[3^*13^*_{10}]_n\] \[[6^*26^*_{10}]_n=2\cdot[3^*13^*_{10}]_n\]

See Also: Factorization of 33..33133..33 on stdkmd.net

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