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A187080号 |
| 三角形T(n,k)按行读取:n个硬币的喷泉和高度k。 |
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2
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1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 4, 0, 0, 0, 0, 1, 7, 1, 0, 0, 0, 0, 1, 12, 2, 0, 0, 0, 0, 0, 1, 20, 5, 0, 0, 0, 0, 0, 0, 1, 33, 11, 0, 0, 0, 0, 0, 0, 0, 1, 54, 22, 1, 0, 0, 0, 0, 0, 0, 0, 1, 88, 44, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 143, 85, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 232, 161, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 376, 302, 25, 0, 0, 0
(列表;桌子;图表;参考;听;历史;文本;内部格式)
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抵消
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0,13
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评论
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链接
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配方奶粉
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T(n,1)+T(n,2)=斐波那契(n)。
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例子
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三角形开始:
1;
0,1;
0,1,0;
0,1,1,0;
0,1,2,0,0;
0,1,4,0,0,0;
0,1,7,1,0,0,0;
0,1,12,2,0,0,0,0;
0,1,20,5,0,0,0,0,0;
0,1,33,11,0,0,0,0,0,0;
0,1,54,22,1,0,0,0,0,0,0;
0,1,88,44,2,0,0,0,0,0,0,0;
0,1,143,85,5,0,0,0,0,0,0,0,0;
0,1232161,12,0,0,0,0,0,0,0,0,0,0,0,0;
0,1,376,302,25,0,0,0,0,0,0,0,0,0,0;
0,1,609,559,52,1,0,0,0,0,0,0,0,0,0,0;
0,1,986,1026,105,2,0,0,0,0,0,0,0,0,0,0,0;
0,1,1596,1870,207,5,0,0,0,0,0,0,0,0,0,0,0,0;
与7枚硬币的喷泉相对应的15种成分如下:
#:组成高度
1: [ 1 2 3 1 ] 3
2: [ 1 2 2 2 ] 2
3: [ 1 1 2 3 ] 3
4: [ 1 2 2 1 1 ] 2
5: [ 1 2 1 2 1 ] 2
6: [ 1 1 2 2 1 ] 2
7:[1 2 1 1 2]2
8: [ 1 1 2 1 2 ] 2
9: [ 1 1 1 2 2 ] 2
10: [ 1 2 1 1 1 1 ] 2
11: [ 1 1 2 1 1 1 ] 2
12: [ 1 1 1 2 1 1 ] 2
13: [ 1 1 1 1 2 1 ] 2
14: [ 1 1 1 1 1 2 ] 2
15: [ 1 1 1 1 1 1 1 ] 1
统计信息:0 1 12 2 0 0 0 0
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数学
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b[n_,i_,h]:=b[n,i,h]=如果[n==0,x^h,和[b[n-j,j,最大[h,j]],{j,1,最小[i+1,n]}];
T[n_]:=表[系数[#,x,i],{i,0,n}]&@b[n,0,0];
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交叉参考
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关键词
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作者
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状态
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经核准的
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