$<br /> A = 1+\frac{1}{3+\frac{1}{1+\frac{1}{1+\frac{1}{5+\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac{1}{3+\frac{1}{12+\frac{1}{4+\frac{1}{1+\frac{1}{235+\frac{1}{1+\frac{1}{10+\frac{1}{4+\frac{1}{3+\frac{1}{1+\frac{1}{2+\frac{1}{2+\frac{1}{6+\frac{1}{32+\frac{1}{85+\frac{1}{31+\frac{1}{39+\frac{1}{3+\frac{1}{1+\frac{1}{6+\frac{1}{2+\frac{1}{1+\frac{1}{1+\frac{1}{4+\frac{1}{2+\frac{1}{1+\frac{1}{4+\frac{1}{1+\frac{1}{10+\frac{1}{41+\frac{1}{7+\frac{1}{1+\frac{1}{2+\frac{1}{65+\frac{1}{9+\frac{1}{5+\frac{1}{1+\frac{1}{1+\frac{1}{2+\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac{1}{5+\frac{1}{4+\frac{1}{1+\frac{1}{2+\frac{1}{2+\frac{1}{1+\frac{1}{3+\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac{1}{2+\frac{1}{1+\frac{1}{3+\frac{1}{1+\frac{1}{4+\frac{1}{1+\frac{1}{3+\frac{1}{4+\frac{1}{1+\frac{1}{4+\frac{1}{2+\frac{1}{9+\frac{1}{2+\frac{1}{5+\frac{1}{1+\frac{1}{1+\frac{1}{6+\frac{1}{1+\frac{1}{3+\frac{1}{1+\frac{1}{7+\frac{1}{2+\frac{1}{1+\frac{1}{12+\frac{1}{1+\frac{1}{2+\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac{1}{47+\frac{1}{43+\frac{1}{1+\frac{1}{10+\frac{1}{1+\frac{1}{31+\frac{1}{2+\frac{1}{2+\frac{1}{5+\frac{1}{2+\frac{1}{3+\frac{1}{17+\frac{1}{1+\frac{1}{4+\frac{1}{4+\frac{1}{1+\frac{1}{5+\frac{1}{1+\frac{1}{3+\frac{1}{6+\frac{1}{1+\frac{1}{2+\frac{1}{1+\frac{1}{1+\frac{1}{3+\frac{1}{11+\frac{1}{11+\frac{1}{1+\frac{1}{3+\frac{1}{123+\frac{1}{1+\frac{1}{13+\frac{1}{1+\frac{1}{1+\frac{1}{7+\frac{1}{1+\frac{1}{3+\frac{1}{2+\frac{1}{1+\frac{1}{7+\frac{1}{1+\frac{1}{11+\frac{1}{1+\frac{1}{4+\frac{1}{2+\frac{1}{1+\frac{1}{1+\frac{1}{8+\frac{1}{2+\frac{1}{3+\frac{1}{1+\frac{1}{7+\frac{1}{9+\frac{1}{2+\frac{1}{1+\frac{1}{2+\frac{1}{1+\frac{1}{11+\frac{1}{1+\frac{1}{1+\frac{1}{3+\frac{1}{1+\frac{1}{10+\frac{1}{66+\frac{1}{10+\frac{1}{1+\frac{1}{1+\frac{1}{8+\frac{1}{12+\frac{1}{3+\ddots}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}<br />$