91111: Near Repdigit 911..11

First few terms (base 10): \[[91^*_{10}]_n=\{9,91,911,9111,91111,\ldots\}\]

General Formula:\[[91^*_{10}]_n={82\cdot10^{n}-1\over9}\]

Equivalent Patterns: \[[45^*_{10}]_n=5\cdot[91^*_{10}]_{n-1}\]

See Also: Factorization of 911..11 on stdkmd.net

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