Color wash the series

Calculus Level 3

\[ \dfrac{\color{magenta}{1^2}}{\color{indigo}{1}}+\dfrac{\color{magenta}{5^2}}{\color{indigo}{11}}+\dfrac{\color{magenta}{9^2}}{\color{indigo}{(11)^2}}+\dfrac{\color{magenta}{13^2}}{\color{indigo}{(11)^3}}+\dfrac{\color{magenta}{17^2}}{\color{indigo}{(11)^4}}+\cdots= \ ?\]

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