(Series 1)
   30     29            1
  ---- + ---- + ... + ---- 
    1      2           30

##</code><code>##

(Formula for Series 1)
    (  (n+1-k)  ) 
Sum (  -------  )  for k = (1..n);
    (     k     )

##</code><code>##

(Series 2)
   29     28            1
  ---- + ---- + ... + ---- 
    1      2           29

##</code><code>##

(Series 3)
    1      2           30
  ---- + ---- + ... + ---- 
   29      28           0