31113: Depression 311..113

First few terms (base 10): \[[31^*3_7]_n=\{24,157,1088,7605,53224,\ldots\}\]

First few terms (base 7): \[\{\text{33},\text{313},\text{3113},\text{31113},\text{311113},\ldots\}\]

General Formula:\[[31^*3_7]_n={133\cdot7^{n}+11\over6}\]

Equivalent Patterns: \[[62^*6_7]_n=2\cdot[31^*3_7]_n\]

Table

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