12222: Near Repdigit 122..22

First few terms (base 10): \[[12^*_9]_n=\{1,11,101,911,8201,\ldots\}\]

First few terms (base 9): \[\{\text{1},\text{12},\text{122},\text{1222},\text{12222},\ldots\}\]

General Formula:\[[12^*_9]_n={5\cdot9^{n}-1\over4}\]

Equivalent Patterns: \[[24^*_9]_n=2\cdot[12^*_9]_n\] \[[48^*_9]_n=4\cdot[12^*_9]_n\] \[[62^*1_9]_n=5\cdot[12^*_9]_{n+1}\] \[[86^*5_9]_n=7\cdot[12^*_9]_{n+1}\] \[[36^*_9]_n=3\cdot[12^*_9]_n\] \[[74^*3_9]_n=6\cdot[12^*_9]_{n+1}\]

Table

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