10001: Depression 100..001

First few terms (base 10): \[[10^*1_4]_n=\{5,17,65,257,1025,\ldots\}\]

First few terms (base 4): \[\{\text{11},\text{101},\text{1001},\text{10001},\text{100001},\ldots\}\]

General Formula:\[[10^*1_4]_n=4\cdot4^{n}+1\]

Equivalent Patterns: \[[30^*3_4]_n=3\cdot[10^*1_4]_n\] \[[20^*2_4]_n=2\cdot[10^*1_4]_n\]

Table

No table data.