Color wash the series

Calculus Level 3

$\dfrac{\color{magenta}{1^2}}{\color{#302B94}{1}}+\dfrac{\color{magenta}{5^2}}{\color{#302B94}{11}}+\dfrac{\color{magenta}{9^2}}{\color{#302B94}{(11)^2}}+\dfrac{\color{magenta}{13^2}}{\color{#302B94}{(11)^3}}+\dfrac{\color{magenta}{17^2}}{\color{#302B94}{(11)^4}}+\cdots= \, ?$