If the sum of the first 10 terms of the series 11+14×4+ 21+24×4+ 31+34×4+ 41+44×4+…\;\dfrac{1}{1+1^{4} \times 4}+\;\dfrac{2}{1+2^{4} \times 4}+\;\dfrac{3}{1+3^{4} \times 4}+\;\dfrac{4}{1+4^{4} \times 4}+\dots1+14×41+1+24×42+1+34×43+1+44×44+… is mn, gcd(m,n)=1\;\dfrac{m}{n},\ \gcd(m,n)=1nm, gcd(m,n)=1, then m+nm+nm+n is equal to :
256
264
276
284