54444: Near Repdigit 544..44
First few terms (base 10): \[[54^*_6]_n=\{5,34,208,1252,7516,\ldots\}\]
First few terms (base 6): \[\{\text{5},\text{54},\text{544},\text{5444},\text{54444},\ldots\}\]
General Formula:\[[54^*_6]_n={29\cdot6^{n}-4\over5}\]
Equivalent Patterns: \[[252^*_6]_n=[54^*_6]_{n+1}/2\]
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