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A173004号 |
| 基于递归的反对角三角序列:f(n,a)=a*f(n-1,a)+n*f(n-2,a) |
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0, 0, 1, 0, 1, 1, 0, 1, 2, 4, 0, 1, 3, 7, 8, 0, 1, 4, 12, 22, 28, 0, 1, 5, 19, 48, 79, 76, 0, 1, 6, 28, 92, 204, 290, 272, 0, 1, 7, 39, 160, 463, 900, 1133, 880, 0, 1, 8, 52, 258, 940, 2404, 4128, 4586, 3328
(列表;桌子;图表;参考文献;听;历史;文本;内部格式)
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抵消
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0.9
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评论
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行总和为:
{0, 1, 2, 7, 19, 67, 228, 893, 3583, 15705,...}.
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链接
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配方奶粉
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f(n,a)=a*f(n-1,a)+n*f(n-2,a);
t(n,m)=反对角线(f(n,a))
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例子
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{0},
{0, 1},
{0, 1, 1},
{0, 1, 2, 4},
{0,1,3,7,8},
{0, 1, 4, 12, 22, 28},
{0,1,5,19,48,79,76},
{0, 1, 6, 28, 92, 204, 290, 272},
{0, 1, 7, 39, 160, 463, 900, 1133, 880},
{0, 1, 8, 52, 258, 940, 2404, 4128, 4586, 3328}
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数学
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f[0,a_]:=0;f[1,a_]:=1;
f[n,a_]:=f[n、a]=a*f[n-1,a]+n*f[n-2,a];
m1=表格[f[n,a],{n,0,10},{a,1,11}];
表[表[m1[[m,n-m+1]],{m,1,n}],{n,1,10}];
压扁[%]
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交叉参考
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关键字
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作者
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状态
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经核准的
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