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

First few terms (base 10): \[[2^*12^*_{10}]_n=\{1,212,22122,2221222,222212222,\ldots\}\]

General Formula:\[[2^*12^*_{10}]_n={20\cdot10^{2n}-9\cdot10^{n}-2\over9}\]

Equivalent Patterns: \[[6^*36^*_{10}]_n=3\cdot[2^*12^*_{10}]_n\] \[[4^*24^*_{10}]_n=2\cdot[2^*12^*_{10}]_n\] \[[8^*48^*_{10}]_n=4\cdot[2^*12^*_{10}]_n\]

See Also: Factorization of 22..22122..22 on stdkmd.net

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