10002: Quasi Repdigit 100..002

First few terms (base 10): \[[10^*2_5]_n=\{7,27,127,627,3127,\ldots\}\]

First few terms (base 5): \[\{\text{12},\text{102},\text{1002},\text{10002},\text{100002},\ldots\}\]

General Formula:\[[10^*2_5]_n=5\cdot5^{n}+2\]

Equivalent Patterns: \[[20^*4_5]_n=2\cdot[10^*2_5]_n\]

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