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

First few terms (base 10): \[[2^*12^*_5]_n=\{1,57,1537,38937,975937,\ldots\}\]

First few terms (base 5): \[\{\text{1},\text{212},\text{22122},\text{2221222},\text{222212222},\ldots\}\]

General Formula:\[[2^*12^*_5]_n={5\cdot5^{2n}-2\cdot5^{n}-1\over2}\]

Equivalent Patterns: \[[4^*24^*_5]_n=2\cdot[2^*12^*_5]_n\]

Table

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