21222: Near Repdigit 2122..22

First few terms (base 10): \[[212^*_9]_n=\{19,173,1559,14033,126299,\ldots\}\]

First few terms (base 9): \[\{\text{21},\text{212},\text{2122},\text{21222},\text{212222},\ldots\}\]

General Formula:\[[212^*_9]_n={77\cdot9^{n}-1\over4}\]

Equivalent Patterns: \[[424^*_9]_n=2\cdot[212^*_9]_n\] \[[848^*_9]_n=4\cdot[212^*_9]_n\] \[[636^*_9]_n=3\cdot[212^*_9]_n\]

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