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55557: Near Repdigit 55..557

First few terms (base 10): \[[5^*7_{10}]_n=\{7,57,557,5557,55557,\ldots\}\]

General Formula:\[[5^*7_{10}]_n={50\cdot10^{n}+13\over9}\]

Equivalent Patterns: \[[1^*4_{10}]_n=2\cdot[5^*7_{10}]_{n-1}\] \[[2^*8_{10}]_n=4\cdot[5^*7_{10}]_{n-1}\]

See Also: Factorization of 55..557 on stdkmd.net

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