|                                                                                                           +3^4
   |                                                      +3^3                                              |                                        +3^3
   |                         |  +3^2                    |                         +3^2                      |                     +3^2                 |                  +3^2
   |             +3^1        |               +3^1       |              +3^1         |          +3^1         |           +3^1        |      +3^1        |        +3^1        |        +3^1
   |      +3^0    |    +3^0  |        +3^0    |   +3^0  |        +3^0   |   +3^0    |    +3^0   |   +3^0    |       +3^0  |   +3^0  |  +3^0  |  +3^0   |   +3^0   |  +3^0   |  +3^0   |  +3^0 
---+--------------+----------+----------------+---------+---------------+-----------+-----------+-----------+-------------+---------+--------+---------+----------+---------+---------+------
^0 |   1                     |                          |                                                   | 
^1 |   3     4               |                          |                                                   | 
^2 |   9    10     12    13  |                          |                                                   | 
^3 |  27    28     30    31  |    36    37    39    40  |                                                   | 
^4 |  81    82     84    85  |    90    91    93    94  |   108   109   111   112   117   118   120   121   | 
^5 | 243   244    246   247  |   252   253   255   256  |   270   271   273   274   279   280   282   283   |  324  325  327  328  333  334  336  337  351  352  354  355  360  361  363  364
^6 | 729   ...