Question 25
It is given that $$\frac1A=\frac2{1+2^2+2^4}+\frac3{1+3^2+3^4}+\frac4{1+4^2+4^4}+\cdots+\frac{13}{1+13^2+13^4}.$$ For a positive real number $x$, $[x]$ is the greatest integer less than or equal to $x$; for example $[2.35]=2$. Find $[A]$.
Answer format: an integer without units. Leading zeros are optional; the source uses four digit boxes.
Answer format: an integer without units. Leading zeros are optional; the source uses four digit boxes.