10001: Depression 100..001

First few terms (base 10): \[[10^*1_8]_n=\{9,65,513,4097,32769,\ldots\}\]

First few terms (base 8): \[\{\text{11},\text{101},\text{1001},\text{10001},\text{100001},\ldots\}\]

General Formula:\[[10^*1_8]_n=8\cdot8^{n}+1\]

Equivalent Patterns: \[[30^*3_8]_n=3\cdot[10^*1_8]_n\] \[[50^*5_8]_n=5\cdot[10^*1_8]_n\] \[[70^*7_8]_n=7\cdot[10^*1_8]_n\] \[[20^*2_8]_n=2\cdot[10^*1_8]_n\] \[[40^*4_8]_n=4\cdot[10^*1_8]_n\] \[[60^*6_8]_n=6\cdot[10^*1_8]_n\]

Table

No table data.