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176389英镑 |
| 多项式系数的对称三角形:p(x,n)=和[(1+二项式[n,m]*x)^m* |
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2, 2, 2, 1, 0, 1, 4, -12, -12, 4, 791, 0, -120, 0, 791, 6, 16260, -280, -280, 16260, 6, -41312053, 0, 364560, 0, 364560, 0, -41312053, 8, -3163111000, -5544, 7035000, 7035000, -5544, -3163111000, 8, 383801047294219, 0, -343384323744, 0
(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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0,1
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评论
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行总和为:
{2, 4, 2, -16, 1462, 31972, -81894986, -6312163072, 766915589474990, 224370055225370444,
-1400713126150624370808722,...}.
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链接
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公式
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p(x,n)=和[(1+二项式[n,m]*x)^m*(1-二项式[n,m]*x;
t(n,m)=系数(p(x,n))
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例子
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{2} ,
{2, 2},
{1, 0, 1},
{4, -12, -12, 4},
{791, 0, -120, 0, 791},
{6, 16260, -280, -280, 16260, 6},
{-41312053,0364560,0364560,-41312053},
{8, -3163111000, -5544, 7035000, 7035000, -5544, -3163111000, 8},
{383801047294219, 0, -343384323744, 0, 263534040, 0, -343384323744, 0, 383801047294219},
{10, 112211416526896260, -102960, -26391294385680, 2380277592, 2380277592, -26391294385680, -102960, 112211416526896260, 10},
{-700414925359462889249761, 0, 58364418631721000040, 0, -2134481017154640, 0, -2134481017154640, 0, 58364418631721000040, 0, -700414925359462889249761}
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数学
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p[x_,n_]=和[(1+二项式[n,m]*x)^m*(1-二项式[n,m]*x)*(n-m)+;
表[系数列表[p[x,n],x],{n,0,10}];
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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