13333: Near Repdigit 133..33

First few terms (base 10): \[[13^*_{10}]_n=\{1,13,133,1333,13333,\ldots\}\]

General Formula:\[[13^*_{10}]_n={4\cdot10^{n}-1\over3}\]

Equivalent Patterns: \[[39^*_{10}]_n=3\cdot[13^*_{10}]_n\] \[[93^*1_{10}]_n=7\cdot[13^*_{10}]_{n+1}\] \[[26^*_{10}]_n=2\cdot[13^*_{10}]_n\] \[[79^*8_{10}]_n=6\cdot[13^*_{10}]_{n+1}\] \[[53^*2_{10}]_n=4\cdot[13^*_{10}]_{n+1}\] \[[6^*5_{10}]_n=5\cdot[13^*_{10}]_n\] \[[19^*5_{10}]_n=15\cdot[13^*_{10}]_n\]

See Also: Factorization of 133..33 on stdkmd.net

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