12222: Near Repdigit 122..22

First few terms (base 10): \[[12^*_5]_n=\{1,7,37,187,937,\ldots\}\]

First few terms (base 5): \[\{\text{1},\text{12},\text{122},\text{1222},\text{12222},\ldots\}\]

General Formula:\[[12^*_5]_n={3\cdot5^{n}-1\over2}\]

Equivalent Patterns: \[[24^*_5]_n=2\cdot[12^*_5]_n\] \[[42^*1_5]_n=3\cdot[12^*_5]_{n+1}\]

Table

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