61111: Near Repdigit 611..11

First few terms (base 10): \[[61^*_{10}]_n=\{6,61,611,6111,61111,\ldots\}\]

General Formula:\[[61^*_{10}]_n={55\cdot10^{n}-1\over9}\]

Equivalent Patterns: \[[12^*_{10}]_n=2\cdot[61^*_{10}]_{n-1}\] \[[36^*_{10}]_n=6\cdot[61^*_{10}]_{n-1}\] \[[24^*_{10}]_n=4\cdot[61^*_{10}]_{n-1}\] \[[48^*_{10}]_n=8\cdot[61^*_{10}]_{n-1}\] \[[73^*2_{10}]_n=12\cdot[61^*_{10}]_n\] \[[85^*4_{10}]_n=14\cdot[61^*_{10}]_n\] \[[97^*6_{10}]_n=16\cdot[61^*_{10}]_n\]

See Also: Factorization of 611..11 on stdkmd.net

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