52222: Near Repdigit 522..22

First few terms (base 10): \[[52^*_9]_n=\{5,47,425,3827,34445,\ldots\}\]

First few terms (base 9): \[\{\text{5},\text{52},\text{522},\text{5222},\text{52222},\ldots\}\]

General Formula:\[[52^*_9]_n={21\cdot9^{n}-1\over4}\]

Equivalent Patterns: \[[16^*_9]_n=3\cdot[52^*_9]_{n-1}\] \[[34^*3_9]_n=6\cdot[52^*_9]_n\] \[[68^*6_9]_n=12\cdot[52^*_9]_n\] \[[86^*3_9]_n=15\cdot[52^*_9]_n\]

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