22122: Near Repdigit Palindrome 22..22122..22

First few terms (base 10): \[[2^*12^*_9]_n=\{1,173,14681,1195013,96848561,\ldots\}\]

First few terms (base 9): \[\{\text{1},\text{212},\text{22122},\text{2221222},\text{222212222},\ldots\}\]

General Formula:\[[2^*12^*_9]_n={9\cdot9^{2n}-4\cdot9^{n}-1\over4}\]

Equivalent Patterns: \[[4^*24^*_9]_n=2\cdot[2^*12^*_9]_n\] \[[8^*48^*_9]_n=4\cdot[2^*12^*_9]_n\] \[[6^*36^*_9]_n=3\cdot[2^*12^*_9]_n\]

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