<s>[INST] Summation of $\dfrac{1}{1+1^2+1^4}+ \dfrac{2}{1+2^2+2^4}+\dfrac{3}{1+3^2+3^4}...$ 
Find the sum of $\dfrac{1}{1+1^2+1^4}+ \dfrac{2}{1+2^2+2^4}+\dfrac{3}{1+3^2+3^4}...$ till n terms. 

The $i^{th}$ term is given by $\dfrac{i}{1+i^2+i^4}$. I did a similar problem previously but there I was able to decompose the fraction into partial fractions. Here, I am unable to do so. What would be an efficeinent way to solve it then? (Just a hint would suffice) 
 [/INST] HINT: $1+i^2+i^4=(1+i^2)^2-i^2$
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