13333: Near Repdigit 133..33

First few terms (base 10): \[[13^*_7]_n=\{1,10,73,514,3601,\ldots\}\]

First few terms (base 7): \[\{\text{1},\text{13},\text{133},\text{1333},\text{13333},\ldots\}\]

General Formula:\[[13^*_7]_n={3\cdot7^{n}-1\over2}\]

Equivalent Patterns: \[[26^*_7]_n=2\cdot[13^*_7]_n\] \[[56^*5_7]_n=4\cdot[13^*_7]_{n+1}\] \[[43^*2_7]_n=3\cdot[13^*_7]_{n+1}\]

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