[R] Generating list of vector coordinates

[Ronnen Levinson]

   Hi.
   Can  anyone  suggest  a  simple  way  to  obtain in R a list of vector
   coordinates of the following form? The code below is Mathematica.

     In[5]:=
     Flatten[Table[{i,j,k},{i,3},{j,4},{k,5}], 2]
     Out[5]=
     {{1,1,1},{1,1,2},{1,1,3},{1,1,4},{1,1,5},{1,2,1},{1,2,2},{1,2,3},{1
     ,2,4},{1,2,

     5},{1,3,1},{1,3,2},{1,3,3},{1,3,4},{1,3,5},{1,4,1},{1,4,2},{1,4,3},
     {1,4,

     4},{1,4,5},{2,1,1},{2,1,2},{2,1,3},{2,1,4},{2,1,5},{2,2,1},{2,2,2},
     {2,2,

     3},{2,2,4},{2,2,5},{2,3,1},{2,3,2},{2,3,3},{2,3,4},{2,3,5},{2,4,1},
     {2,4,

     2},{2,4,3},{2,4,4},{2,4,5},{3,1,1},{3,1,2},{3,1,3},{3,1,4},{3,1,5},
     {3,2,

     1},{3,2,2},{3,2,3},{3,2,4},{3,2,5},{3,3,1},{3,3,2},{3,3,3},{3,3,4},
     {3,3,
         5},{3,4,1},{3,4,2},{3,4,3},{3,4,4},{3,4,5}}

   I've  been  futzing with apply(), outer(), and so on but haven't found
   an elegant solution.
   Thanks,
   Ronnen.
   P.S. E-mailed CCs of posted replies appreciated.