C = \sqrt[ 3 ] { \frac { 7 ^ { n + 3 } - 7 ^ { n + 1 } } { 7 ( 7 ^ { n - 1 } - 1 } ) }
Solve for C
C=2\sqrt[3]{\frac{6}{7^{n}-7}}\times 7^{\frac{n+1}{3}}
n\neq 1
Solve for n
n=3\log_{7}\left(\frac{C}{\sqrt[3]{C^{3}-336}}\right)+1
C>2\sqrt[3]{42}\text{ or }C<0
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