  We give continued fraction expansions of the generating functions of
Bernoulli numbers, Cauchy numbers, Euler numbers, harmonic numbers, and their
generalized or related numbers. In particular, we focus on explicit forms of
the convergents of these continued fraction expansions. Linear fractional
transformations of such continued fractions are also discussed. We show more
continued fraction expansion for different numbers and types, in particular, on
Cauchy numbers.
