\( T_ r \) is a sequence such that

\[ \sum_{r =1 } ^ n T_r = \frac{ n(n+1)(n+2)(n+3) } { 8 }. \]

\( \displaystyle \sum_{r=1}^{11} \frac{1}{T_r } = \frac{a}{b}\), where \(a, b \) are coprime positive integers. Find \( a + b \).

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