55556: Near Repdigit 55..556

First few terms (base 10): \[[5^*6_7]_n=\{6,41,286,2001,14006,\ldots\}\]

First few terms (base 7): \[\{\text{6},\text{56},\text{556},\text{5556},\text{55556},\ldots\}\]

General Formula:\[[5^*6_7]_n={35\cdot7^{n}+1\over6}\]

Equivalent Patterns: \[[14^*5_7]_n=2\cdot[5^*6_7]_n\] \[[23^*4_7]_n=3\cdot[5^*6_7]_n\] \[[50^*1_7]_n=6\cdot[5^*6_7]_n\] \[[32^*3_7]_n=4\cdot[5^*6_7]_n\] \[[64^*6_7]_n=8\cdot[5^*6_7]_n\] \[[41^*2_7]_n=5\cdot[5^*6_7]_n\]

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