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A174639号 |
| 一个三角形序列:f(n)=Sum[StillingS2[n,k],{k,1,n}];t(n,m)=二项式[n,m]*f(m+1)*f(n-m+1)-二项式[n,0]*f(1)*f(n+1)+1 |
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1, 1, 1, 1, 4, 1, 1, 16, 16, 1, 1, 69, 99, 69, 1, 1, 318, 548, 548, 318, 1, 1, 1560, 3024, 3624, 3024, 1560, 1, 1, 8139, 17176, 23161, 23161, 17176, 8139, 1, 1, 45094, 101634, 149374, 168134, 149374, 101634, 45094, 1, 1, 264672, 629226, 989046, 1214082
(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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0,5
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评论
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行总和为:
1, 2, 6, 34, 239, 1734, 12794, 96954, 760340, 6194054, 52490379,...
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链接
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配方奶粉
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f(n)=总和[StirlingS2[n,k],{k,1,n}];
t(n,m)=二项式[n,m]*f(m+1)*f(n-m+1)-二项式[n,0]*f(1)*f(n+1)+1
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例子
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{1},
{1, 1},
{1, 4, 1},
{1, 16, 16, 1},
{1, 69, 99, 69, 1},
{1, 318, 548, 548, 318, 1},
{1, 1560, 3024, 3624, 3024, 1560, 1},
{1, 8139, 17176, 23161, 23161, 17176, 8139, 1},
{1, 45094, 101634, 149374, 168134, 149374, 101634, 45094, 1},
{1, 264672, 629226, 989046, 1214082, 1214082, 989046, 629226, 264672, 1},
{1, 1640931, 4079506, 6773431, 8898271, 9706099, 8898271, 6773431, 4079506, 1640931, 1}
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数学
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f[n_]:=和[StillingS2[n,k],{k,1,n}];
t[n_,m_]=二项式[n,m]*f[m+1]*f[n-m+1]
表[表[t[n,m]-t[n,0]+1,{m,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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