11101: Near Repdigit 11..1101

First few terms (base 10): \[[1^*01_8]_n=\{1,65,577,4673,37441,\ldots\}\]

First few terms (base 8): \[\{\text{1},\text{101},\text{1101},\text{11101},\text{111101},\ldots\}\]

General Formula:\[[1^*01_8]_n={64\cdot8^{n}-57\over7}\]

Equivalent Patterns: \[[7^*07_8]_n=7\cdot[1^*01_8]_n\] \[[3^*03_8]_n=3\cdot[1^*01_8]_n\] \[[5^*05_8]_n=5\cdot[1^*01_8]_n\] \[[2^*02_8]_n=2\cdot[1^*01_8]_n\] \[[4^*04_8]_n=4\cdot[1^*01_8]_n\] \[[6^*06_8]_n=6\cdot[1^*01_8]_n\]

Table

No table data.