11101: Near Repdigit 11..1101

First few terms (base 10): \[[1^*01_4]_n=\{1,17,81,337,1361,\ldots\}\]

First few terms (base 4): \[\{\text{1},\text{101},\text{1101},\text{11101},\text{111101},\ldots\}\]

General Formula:\[[1^*01_4]_n={16\cdot4^{n}-13\over3}\]

Equivalent Patterns: \[[3^*03_4]_n=3\cdot[1^*01_4]_n\] \[[2^*02_4]_n=2\cdot[1^*01_4]_n\]

Table

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