14445: Quasi Repdigit 144..445

First few terms (base 10): \[[14^*5_6]_n=\{11,65,389,2333,13997,\ldots\}\]

First few terms (base 6): \[\{\text{15},\text{145},\text{1445},\text{14445},\text{144445},\ldots\}\]

General Formula:\[[14^*5_6]_n={54\cdot6^{n}+1\over5}\]

Equivalent Patterns: \[[1^*2_6]_n=4\cdot[14^*5_6]_{n-2}\] \[[3^*4_6]_n=2\cdot[14^*5_6]_{n-1}\] \[[10^*4_6]_n=20\cdot[14^*5_6]_{n-2}\] \[[30^*2_6]_n=10\cdot[14^*5_6]_{n-1}\] \[[52^*3_6]_n=3\cdot[14^*5_6]_n\] \[[2^*4_6]_n=8\cdot[14^*5_6]_{n-2}\] \[[41^*4_6]_n=14\cdot[14^*5_6]_{n-1}\]

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