How to sum measure value for all records between two dimension values

I have a cube, called metric_cube, with a measure of Metric and a dimension Week with the given output on SSAS from SQL Server 2014.

Current Output:

Week  Metric
----  ------
 1      6
 2      5
 3      4
 4      3
 5      2

I want to get the cube to output the sum of the Metric for all combinations of a from Week and to Week, where the from Week <= the to Week.

Desired Output:

Week(F)  Week(T)  Metric
-------  -------  ------
  1         1        6
  1         2        11
  1         3        15
  1         4        18
  1         5        20
  2         2        5
  2         3        9
  2         4        12
  2         5        14
  3         3        4
  3         4        7
  3         5        9
  4         4        3
  4         5        5
  5         5        2

I have tried using the same dimension twice, but I get a cross join error. I have also tried creating two dimensions and applying both of them, but all that does is duplicate the Metric value from the current output for all to Weeks without consideration of the desired constraint for the from Week <= the to Week

Is it possible to use a data cube to achieve the desired output? If so, how?