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A156233号 |
| 对称递归三角序列:m=4;e(n,k,m)=(2*k+m-1)e(n-1,k,m)+(m*n-2*k+1-m)e(n-1,k-1,m);t(n,k)=e(n,k,m)+e(n、n-k,m)。 |
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2, 1, 1, 1, 6, 1, 1, 37, 37, 1, 1, 226, 606, 226, 1, 1, 1565, 7972, 7972, 1565, 1, 1, 13514, 102407, 187824, 102407, 13514, 1, 1, 150753, 1445555, 3859373, 3859373, 1445555, 150753, 1, 1, 2105142, 23789060, 79955452, 115641606, 79955452, 23789060
(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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0,1
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评论
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行总和为:
{2, 2, 8, 76, 1060, 19076, 419668, 10911364, 327340916, 11129591140, 422924463316,...}.
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链接
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公式
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m=4;e(n,k,m)=(2*k+m-1)e)n-1,k,m)+(m*n-2*k+1-m)e(n-1,k-1,m);
t(n,k)=e(n,k,m)+e(n,n-k,m)。
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例子
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{2},
{1,
{1, 6, 1},
{1, 37, 37, 1},
{1, 226, 606, 226, 1},
{1, 1565, 7972, 7972, 1565, 1},
{1, 13514, 102407, 187824, 102407, 13514, 1},
{1, 150753, 1445555, 3859373, 3859373, 1445555, 150753, 1},
{1, 2105142, 23789060, 79955452, 115641606, 79955452, 23789060, 2105142, 1},
{1, 34850041, 457127618, 1813119912, 3259697998, 3259697998, 1813119912, 457127618, 34850041, 1},
{1, 656682190, 9977604269, 46096675274, 96031672538, 117399194772, 96031672538, 46096675274, 9977604269, 656682190, 1}
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数学
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清除[e,n,k,m];m=4;e[n,0,m]:=1;
e[n,k,m]:=0/;k>=n;e[n,k,1]:=1/;k>=n;
e[n,k,m]:=(2*k+m-1)e[n-1,k,m]+(m*n-2*k+1-m)e[n-1,k-1,m];
表[表[e[n,k,m],{k,0,n-1}],{n,1,10}];
压扁[%];
表[表[e[n,k,m]+e[n,n-k,m],{k,0,n}],{n,0,10}];
压扁[%]
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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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