If the sum of the first 10 terms of the series (4 · 1)/(1+4 · 1^4)+(4 · 2)/(1+4 · 2^4)+(4 · 3)/(1+4 · 3^4)+….. is m/n, where gcd ( m, n )=1, then m +…

If the sum of the first $\displaystyle 10$ terms of the series $\displaystyle \frac{4 \cdot 1}{1+4 \cdot 1^4}+\frac{4 \cdot 2}{1+4 \cdot 2^4}+\frac{4 \cdot 3}{1+4 \cdot 3^4}+\ldots .$. is $\displaystyle \frac{\mathrm{m}}{\mathrm{n}}$, where $\displaystyle \operatorname{gcd}(\mathrm{m}, \mathrm{n})=1$, then $\displaystyle \mathrm{m}+\mathrm{n}$ is equal to $\displaystyle \_\_\_\_$.