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

First few terms (base 10): \[[2^*12^*_8]_n=\{1,138,9298,598674,38343826,\ldots\}\]

First few terms (base 8): \[\{\text{1},\text{212},\text{22122},\text{2221222},\text{222212222},\ldots\}\]

General Formula:\[[2^*12^*_8]_n={16\cdot8^{2n}-7\cdot8^{n}-2\over7}\]

Equivalent Patterns: \[[4^*24^*_8]_n=2\cdot[2^*12^*_8]_n\] \[[6^*36^*_8]_n=3\cdot[2^*12^*_8]_n\]

Table

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