14444: Near Repdigit 144..44

First few terms (base 10): \[[14^*_7]_n=\{1,11,81,571,4001,\ldots\}\]

First few terms (base 7): \[\{\text{1},\text{14},\text{144},\text{1444},\text{14444},\ldots\}\]

General Formula:\[[14^*_7]_n={5\cdot7^{n}-2\over3}\]

Equivalent Patterns: \[[46^*5_7]_n=3\cdot[14^*_7]_{n+1}\] \[[32^*1_7]_n=2\cdot[14^*_7]_{n+1}\] \[[64^*2_7]_n=4\cdot[14^*_7]_{n+1}\]

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