----------------------------------------------------------
.三角图
组分的组成(行)
共5个区域和区域(列)
----------------------------------------------------------
. _ _ _ _ _
5 |_ | 5
1+4 |_|_ | 1 4
2+3 |_ | | 2 0 3
1+1+3 |_|_|_ | 1 1 0 3
3+2 |_ | | 3 0 0 0 2
1+2+2 |_|_ | | 1 2 0 0 0 2
2+1+2 |_ | | | 2 0 1 0 0 0 2
1+1+1+2 |_|_|_|_ | 1 1 0 1 0 0 0 2
4+1 |_ | | 4 0 0 0 0 0 0 0 1
1+3+1 |_|_ | | 1 3 0 0 0 0 0 0 0 1
2+2+1 |_ | | | 2 0 2 0 0 0 0 0 0 0 1
1+1+2+1 |_|_|_ | | 1 1 0 2 0 0 0 0 0 0 0 1
3+1+1 |_ | | | 3 0 0 0 1 0 0 0 0 0 0 0 1
1+2+1+1 |_|_ | | | 1 2 0 0 0 1 0 0 0 0 0 0 0 1
2+1+1+1 |_ | | | | 2 0 1 0 0 0 1 0 0 0 0 0 0 0 1
1+1+1+1+1 |_|_|_|_|_| 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 1
.
对于正整数k,考虑三角形的前2^(k-1)行,如下所示。第n行的正项是k的组成集区域图中第n个区域的部分。第n列的正项则是k的第n个组成部分,组成按列序排列。
三角形开始:
1;
1,2;
0,0,1;
1,1,2,3;
0,0,0,0,1;
0,0,0,0,1,2;
0,0,0,0,0,0,1;
1,1,1,1,2,2,3,4;
0,0,0,0,0,0,0,0,1;
0,0,0,0,0,0,0,0,1,2;
0,0,0,0,0,0,0,0,0,0,1;
0,0,0,0,0,0,0,0,1,1,2,3;
0,0,0,0,0,0,0,0,0,0,0,0,1;
0,0,0,0,0,0,0,0,0,0,0,0,1,2;
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1;
1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,5;
...