Continued Fractions for e

There are several well-known continued fraction expansions of e^z.  
For example, page 70 of Abramowitz & Stegun's "Handbook of Mathematical
Functions" gives (among others)

          1    z    z    z    z    z    z    z      
 e^z  =  ---  ---  ---  ---  ---  ---  ---  ---  etc.
          1-   1+   2-   3+   2-   5+   2-   7+


                z    z    z    z    z    z    z    z    
      =  1  +  ---  ---  ---  ---  ---  ---  ---  ---  etc.
                1-   2+   3-   2+   3-   2+   5-   2+


                        2z
 e^(2z) =  1 + ------------------------
                                  1
                (1-z) + -------------------------
                                          1
                        3/z^2 + ---------------------
                                                 1
                                 5  +  ---------------------
                                                        1
                                       7/z^2  +  ---------------
                                                             1
                                                  9  +  --------

                                                          11/z^2

Also, Exercise 4 of Chapter 10.3 in Rosen's "Elementary Number Theory" 
states that e has the continued fraction 

            e = [2;1,2,1,1,4,1,1,6,1,1,8,...]

and (as pointed out to me by Andrew Palfreyman) this generalizes to
give the interesting continued fraction for the kth root of e shown
below

                          1
 e^(1/k) =  1 + ------------------------
                                  1
                (k-1) + -------------------------
                                          1
                        (3k-1) + ---------------------
                                                 1
                                 (5k-1)  +  ------------------
                                                        1
                                            (7k-1)  +  -------------
                                                                
                                                       (9k-1)  + ... 

It's surprising to find that e has such easily characterized continued 
fraction, in contrast to pi's, for example.