22223: Near Repdigit 22..223

First few terms (base 10): \[[2^*3_8]_n=\{3,19,147,1171,9363,\ldots\}\]

First few terms (base 8): \[\{\text{3},\text{23},\text{223},\text{2223},\text{22223},\ldots\}\]

General Formula:\[[2^*3_8]_n={16\cdot8^{n}+5\over7}\]

Equivalent Patterns: \[[20^*5_8]_n=7\cdot[2^*3_8]_n\] \[[13^*7_8]_n=5\cdot[2^*3_8]_n\] \[[4^*6_8]_n=2\cdot[2^*3_8]_n\] \[[1^*4_8]_n=4\cdot[2^*3_8]_{n-1}\]

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