Judd's Observation (or Judd's Relation) ------------------ I thought of this while sitting around in my very first apartment, at the beginning of my sophmore year of college. Note that 1^3 + 2^3 = (1+2)^2 1^3 + 2^3 + 3^3 = (1+2+3)^2 And it is easy to show that, in general, 1^3 + 2^3 + ... + n^3 = (1+2+...+n)^2 = [ n(n+1)/2 ]^2 oooooOOOOOOoooooohhhh! aaaAAAAAAAAAAAaaaaaahhhhh!