66667: Near Repdigit 66..667

First few terms (base 10): \[[6^*7_8]_n=\{7,55,439,3511,28087,\ldots\}\]

First few terms (base 8): \[\{\text{7},\text{67},\text{667},\text{6667},\text{66667},\ldots\}\]

General Formula:\[[6^*7_8]_n={48\cdot8^{n}+1\over7}\]

Equivalent Patterns: \[[60^*1_8]_n=7\cdot[6^*7_8]_n\] \[[24^*5_8]_n=3\cdot[6^*7_8]_n\] \[[42^*3_8]_n=5\cdot[6^*7_8]_n\] \[[75^*7_8]_n=9\cdot[6^*7_8]_n\] \[[15^*6_8]_n=2\cdot[6^*7_8]_n\] \[[3^*4_8]_n=4\cdot[6^*7_8]_{n-1}\] \[[30^*4_8]_n=28\cdot[6^*7_8]_{n-1}\] \[[51^*2_8]_n=6\cdot[6^*7_8]_n\] \[[12^*4_8]_n=12\cdot[6^*7_8]_{n-1}\] \[[21^*4_8]_n=20\cdot[6^*7_8]_{n-1}\]

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