k_{1} = 1
k_{2} = \frac{1}{100}
k_{3} = \frac{509}{100000}
k_{4} = \frac{47}{100000}
k_{5} = \frac{11}{10000}
k_{6} = \frac{89}{12500}
k_{7} = \frac{439}{100000}
k_{8} = \frac{9}{50000}
k_{9} = \frac{5567}{50000}
k_{10} = \frac{14359}{100000}
k_{11} = \frac{3}{20000}
k_{12} = \frac{6257}{50000}
k_{13} = 15