51113: Quasi Repdigit 511..113

First few terms (base 10): \[[51^*3_8]_n=\{43,331,2635,21067,168523,\ldots\}\]

First few terms (base 8): \[\{\text{53},\text{513},\text{5113},\text{51113},\text{511113},\ldots\}\]

General Formula:\[[51^*3_8]_n={288\cdot8^{n}+13\over7}\]

Equivalent Patterns: \[[12^*6_8]_n=2\cdot[51^*3_8]_{n-1}\]

Table

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