12222: Near Repdigit 122..22

First few terms (base 10): \[[12^*_7]_n=\{1,9,65,457,3201,\ldots\}\]

First few terms (base 7): \[\{\text{1},\text{12},\text{122},\text{1222},\text{12222},\ldots\}\]

General Formula:\[[12^*_7]_n={4\cdot7^{n}-1\over3}\]

Equivalent Patterns: \[[36^*_7]_n=3\cdot[12^*_7]_n\] \[[24^*_7]_n=2\cdot[12^*_7]_n\] \[[52^*1_7]_n=4\cdot[12^*_7]_{n+1}\] \[[64^*3_7]_n=5\cdot[12^*_7]_{n+1}\]

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