11411: Near Repdigit Palindrome 11..11411..11

First few terms (base 10): \[[1^*41^*_9]_n=\{4,118,7624,600058,48447244,\ldots\}\]

First few terms (base 9): \[\{\text{4},\text{141},\text{11411},\text{1114111},\text{111141111},\ldots\}\]

General Formula:\[[1^*41^*_9]_n={9\cdot9^{2n}+24\cdot9^{n}-1\over8}\]

Equivalent Patterns: \[[2^*82^*_9]_n=2\cdot[1^*41^*_9]_n\]

Table

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