44414: Near Repdigit 44..4414

First few terms (base 10): \[[4^*14_9]_n=\{13,337,3253,29497,265693,\ldots\}\]

First few terms (base 9): \[\{\text{14},\text{414},\text{4414},\text{44414},\text{444414},\ldots\}\]

General Formula:\[[4^*14_9]_n={81\cdot9^{n}-55\over2}\]

Equivalent Patterns: \[[8^*28_9]_n=2\cdot[4^*14_9]_n\]

Table

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