31111: Near Repdigit 311..11

First few terms (base 10): \[[31^*_8]_n=\{3,25,201,1609,12873,\ldots\}\]

First few terms (base 8): \[\{\text{3},\text{31},\text{311},\text{3111},\text{31111},\ldots\}\]

General Formula:\[[31^*_8]_n={22\cdot8^{n}-1\over7}\]

Equivalent Patterns: \[[14^*_8]_n=4\cdot[31^*_8]_{n-1}\] \[[62^*_8]_n=2\cdot[31^*_8]_n\] \[[45^*4_8]_n=12\cdot[31^*_8]_n\] \[[76^*4_8]_n=20\cdot[31^*_8]_n\]

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