R的西北角:
1 2 3 5 7 9 12 15
4 6 8 11 14 17 21 25
10 13 16 20 24 28 33 38
18 22 26 31 36 41 47 53
29 34 39 45 51 57 64 71
43 49 55 62 69 76 84 92
设t=(黄金比率)^2=(3+sqrt(5))/2;则R(i,j)=(j,i)的秩,当所有非负整数对(a,b)通过如下定义的关系<<进行排序时:(a,b)<<(c,d)如果a+b*t<c+d*t,以及(a,b)<<(c,d)如果a+b*t=c+d*t和b<d。因此,R(2,0)=10是列表(0,0)<<(1,0)<<(2,0)<<(0,1)<<(3,0)<<(1,1)<<(4,0)<<(2,1)<<(5,0)<<(0,2)。
反对偶读取数组时形成的三角形:
1;
2, 4;
3, 6, 10;
5, 8, 13, 18;
7, 11, 16, 22, 29;
9, 14, 20, 26, 34, 43;
12, 17, 24, 31, 39, 49, 59;
15, 21, 28, 36, 45, 55, 66, 78;
19, 25, 33, 41, 51, 62, 73, 86, 99;
23, 30, 38, 47, 57, 69, 81, 94, 108, 123;
...
(结束)