17777: Near Repdigit 177..77

First few terms (base 10): \[[17^*_{10}]_n=\{1,17,177,1777,17777,\ldots\}\]

General Formula:\[[17^*_{10}]_n={16\cdot10^{n}-7\over9}\]

Equivalent Patterns: \[[53^*1_{10}]_n=3\cdot[17^*_{10}]_{n+1}\] \[[35^*4_{10}]_n=2\cdot[17^*_{10}]_{n+1}\] \[[8^*5_{10}]_n=5\cdot[17^*_{10}]_n\]

See Also: Factorization of 177..77 on stdkmd.net

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