Sum of series terms (Jee Mains)

Advanced Series

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Sum of series terms

If the sum of the first 20 terms of the series
$\frac{{4.1}}{{4 + {{3.1}^2} + {1^4}}} + \frac{{4.2}}{{4 + {{3.2}^2} + {2^4}}} + \frac{{4.3}}{{4 + {{3.3}^2} + {3^4}}} + \frac{{4.4}}{{4 + {{3.4}^2} + {4^4}}} + ....$
is $\frac{m}{n}$ , where m and n are coprime, then m + n is equal to :-

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