A number of closed-form constants can be obtained for generalized continued fractions having particularly simple partial numerators and denominators. The Ramanujan continued fractions provide a fascinating class of continued fraction constants. The Trott constants are unexpected constants whose partial numerators and denominators correspond to their decimal digits (though to achieve this, it is necessary to allow some partial numerators to equal 0).

continued fraction | e | generalized continued fraction | golden ratio | modified Bessel function of the first kind | modified Bessel function of the second kind | nested radical constant | pi | rabbit constant | Ramanujan continued fractions | Thue-Morse constant | Trott constants