<< NumberTheory`ContinuedFractions`

For[i = 20, i < 41, i++, 
      Print["i=",  i   , "        ",  
        d = ContinuedFraction[Fibonacci[i]/Fibonacci[i - 3]]]]

For[i = 20, i < 41, i++, 
      Print["i=",  i   , "        ",  
        d = ContinuedFraction[Fibonacci[i]/Fibonacci[i - 4]]]]

For[i = 20, i < 41, i++, 
      Print["i=",  i   , "        ",  
        d = ContinuedFraction[Fibonacci[i]/Fibonacci[i - 5]]]]

For[i = 20, i < 41, i++, 
      Print["i=",  i   , "        ",  
        d = ContinuedFraction[Fibonacci[i]/Fibonacci[i - 6]]]]