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 |