11101: Near Repdigit 11..1101

First few terms (base 10): \[[1^*01_7]_n=\{1,50,393,2794,19601,\ldots\}\]

First few terms (base 7): \[\{\text{1},\text{101},\text{1101},\text{11101},\text{111101},\ldots\}\]

General Formula:\[[1^*01_7]_n={49\cdot7^{n}-43\over6}\]

Equivalent Patterns: \[[2^*02_7]_n=2\cdot[1^*01_7]_n\] \[[3^*03_7]_n=3\cdot[1^*01_7]_n\] \[[6^*06_7]_n=6\cdot[1^*01_7]_n\] \[[4^*04_7]_n=4\cdot[1^*01_7]_n\] \[[5^*05_7]_n=5\cdot[1^*01_7]_n\]

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