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The Official Journal of the Pan-Pacific Association of Input-Output Studies (PAPAIOS)

Table 2 Number of unique decomposition forms that correspond to one factor at each step from the polar form

From: Structural decomposition analysis with disaggregate factors within the Leontief inverse

  k  
N 0 1 2 3 4 5 6 7 8 9 Sum
2 1 1          2
3 1 2 1         4
4 1 3 3 1        8
5 1 4 6 4 1       16
6 1 5 10 10 5 1      32
7 1 6 15 20 15 6 1     64
8 1 7 21 35 35 21 7 1    128
9 1 8 28 56 70 56 28 8 1   256
10 1 9 36 84 126 126 84 36 9 1 512
  1. N is the number of factors in the decomposition and k is the distance from one of the polar decomposition forms