It is clean harmonics

Calculus Level 5

\[\sum _{ n=1 }^{ \infty }{ \left( \frac { { \left( { H }_{ n } \right) }^{ 2 } }{ { 2 }^{ n } } -\frac { 1 }{ { n }^{ 2 } } \right) } ={ \left( \ln { x } \right) }^{ 2 }, \ \ \ \ \ x = \ ? \]

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