  i  counter   t  cost  total   2i  bank  Phi  amortized
  1  00000001  0     1      1    2     1    1       2
  2  00000010  1     2      3    4     1    1       2
  3  00000011  0     1      4    6     2    2       2
  4  00000100  2     3      7    8     1    1       2
  5  00000101  0     1      8   10     2    2       2
  6  00000110  1     2     10   12     2    2       2
  7  00000111  0     1     11   14     3    3       2
  8  00001000  3     4     15   16     1    1       2
  9  00001001  0     1     16   18     2    2       2
 10  00001010  1     2     18   20     2    2       2
 11  00001011  0     1     19   22     3    3       2
 12  00001100  2     3     22   24     2    2       2
 13  00001101  0     1     23   26     3    3       2
 14  00001110  1     2     25   28     3    3       2
 15  00001111  0     1     26   30     4    4       2
 16  00010000  4     5     31   32     1    1       2
n =      16:  total flips =      31  <  2n = 32
n =     100:  total flips =     197  <  2n = 200
n =    1000:  total flips =    1994  <  2n = 2000
n = 1000000:  total flips = 1999993  <  2n = 2000000
