33334: Near Repdigit 33..334

First few terms (base 10): \[[3^*4_5]_n=\{4,19,94,469,2344,\ldots\}\]

First few terms (base 5): \[\{\text{4},\text{34},\text{334},\text{3334},\text{33334},\ldots\}\]

General Formula:\[[3^*4_5]_n={15\cdot5^{n}+1\over4}\]

Equivalent Patterns: \[[12^*3_5]_n=2\cdot[3^*4_5]_n\] \[[30^*1_5]_n=4\cdot[3^*4_5]_n\] \[[21^*2_5]_n=3\cdot[3^*4_5]_n\] \[[42^*4_5]_n=6\cdot[3^*4_5]_n\]

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