33334: Near Repdigit 33..334

First few terms (base 10): \[[3^*4_9]_n=\{4,31,274,2461,22144,\ldots\}\]

First few terms (base 9): \[\{\text{4},\text{34},\text{334},\text{3334},\text{33334},\ldots\}\]

General Formula:\[[3^*4_9]_n={27\cdot9^{n}+5\over8}\]

Equivalent Patterns: \[[6^*8_9]_n=2\cdot[3^*4_9]_n\] \[[14^*7_9]_n=4\cdot[3^*4_9]_n\] \[[30^*5_9]_n=8\cdot[3^*4_9]_n\] \[[41^*8_9]_n=11\cdot[3^*4_9]_n\] \[[1^*3_9]_n=3\cdot[3^*4_9]_{n-1}\] \[[2^*6_9]_n=6\cdot[3^*4_9]_{n-1}\]

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