markp (06/01/82)
It is interesting to note that the scf expansions for rational numbers terminate, those for quadratic irrationals repeat, and those known for certain transcendental numbers are VERY regular. But even so: there is NO algebraic number x of degree greater than two for which the scf expansion of x is known. Also--continued fraction expansions are known for some of the elementary transcendental functions. It is worth one's time to compare the cf expansions of sin and sinh, and cos and cosh. Mark R. Paulin