66667: Near Repdigit 66..667

First few terms (base 10): \[[6^*7_9]_n=\{7,61,547,4921,44287,\ldots\}\]

First few terms (base 9): \[\{\text{7},\text{67},\text{667},\text{6667},\text{66667},\ldots\}\]

General Formula:\[[6^*7_9]_n={27\cdot9^{n}+1\over4}\]

Equivalent Patterns: \[[14^*5_9]_n=2\cdot[6^*7_9]_n\] \[[30^*1_9]_n=4\cdot[6^*7_9]_n\] \[[60^*2_9]_n=8\cdot[6^*7_9]_n\] \[[36^*8_9]_n=5\cdot[6^*7_9]_n\] \[[74^*7_9]_n=10\cdot[6^*7_9]_n\] \[[52^*4_9]_n=7\cdot[6^*7_9]_n\] \[[82^*5_9]_n=11\cdot[6^*7_9]_n\] \[[2^*3_9]_n=3\cdot[6^*7_9]_{n-1}\] \[[4^*6_9]_n=6\cdot[6^*7_9]_{n-1}\] \[[10^*3_9]_n=12\cdot[6^*7_9]_{n-1}\] \[[20^*6_9]_n=24\cdot[6^*7_9]_{n-1}\] \[[12^*6_9]_n=15\cdot[6^*7_9]_{n-1}\]

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