40001: Quasi Repdigit 400..001

First few terms (base 10): \[[40^*1_8]_n=\{33,257,2049,16385,131073,\ldots\}\]

First few terms (base 8): \[\{\text{41},\text{401},\text{4001},\text{40001},\text{400001},\ldots\}\]

General Formula:\[[40^*1_8]_n=32\cdot8^{n}+1\]

Equivalent Patterns: \[[10^*2_8]_n=2\cdot[40^*1_8]_{n-1}\] \[[20^*4_8]_n=4\cdot[40^*1_8]_{n-1}\] \[[30^*6_8]_n=6\cdot[40^*1_8]_{n-1}\]

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