10111: Near Repdigit 1011..11

First few terms (base 10): \[[101^*_{10}]_n=\{10,101,1011,10111,101111,\ldots\}\]

General Formula:\[[101^*_{10}]_n={91\cdot10^{n}-1\over9}\]

Equivalent Patterns: \[[303^*_{10}]_n=3\cdot[101^*_{10}]_n\] \[[909^*_{10}]_n=9\cdot[101^*_{10}]_n\] \[[707^*_{10}]_n=7\cdot[101^*_{10}]_n\] \[[202^*_{10}]_n=2\cdot[101^*_{10}]_n\] \[[606^*_{10}]_n=6\cdot[101^*_{10}]_n\] \[[404^*_{10}]_n=4\cdot[101^*_{10}]_n\] \[[505^*_{10}]_n=5\cdot[101^*_{10}]_n\] \[[808^*_{10}]_n=8\cdot[101^*_{10}]_n\]

See Also: Factorization of 1011..11 on stdkmd.net

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