11113: Near Repdigit 11..113

First few terms (base 10): \[[1^*3_{10}]_n=\{3,13,113,1113,11113,\ldots\}\]

General Formula:\[[1^*3_{10}]_n={10\cdot10^{n}+17\over9}\]

Equivalent Patterns: \[[3^*9_{10}]_n=3\cdot[1^*3_{10}]_n\] \[[2^*6_{10}]_n=2\cdot[1^*3_{10}]_n\] \[[5^*65_{10}]_n=5\cdot[1^*3_{10}]_{n+1}\]

See Also: Factorization of 11..113 on stdkmd.net

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