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

First few terms (base 10): \[[3^*13^*_5]_n=\{1,83,2293,58343,1463593,\ldots\}\]

First few terms (base 5): \[\{\text{1},\text{313},\text{33133},\text{3331333},\text{333313333},\ldots\}\]

General Formula:\[[3^*13^*_5]_n={15\cdot5^{2n}-8\cdot5^{n}-3\over4}\]

Equivalent Patterns: (none)

Table

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