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A137347号 |
| 多项式递归系数的三角序列:p(x,n]=x*p(x、n-1)-2*x^2*p(x,n-2)+x^3*p(x-3)。 |
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0
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1, -1, 1, 0, -1, -1, 0, 0, 1, -2, 0, 0, 0, 2, 1, 0, 0, 0, 0, -1, 4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -7, 0, 0, 0, 0, 0, 0, 0, 7, -3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, -15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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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1,10
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评论
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行总和为:
{1, 0, -2, -1, 3, 3, -4, -7, 4, 14, -1, -25, -9, 40, 33, -56}
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链接
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配方奶粉
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p(x,n)=x*p(x、n-1)-2*x^2*p(x,n-2)+x^3*p(x,n-3)。
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例子
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{1} ,
{-1, 1},
{0, -1, -1},
{0, 0, 1, -2},
{0,0,0,2,1},
{0, 0, 0, 0, -1, 4},
{0, 0, 0, 0, 0, -4},
{0,0,0,0,0,0,0,-7},
{0, 0, 0, 0, 0, 0, 0, 7, -3},
{0, 0, 0, 0, 0, 0, 0, 0, 3, 11},
{0,0,0,0,0,0,0,0,0,-11,10},
{0, 0, 0, 0, 0,0, 0, 0, 0, 0, -10, -15},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,15, -24},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 16},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 49},
{0, 0, 0, 0, 0, 0, 0, 0, 0,0, 0, 0, 0, 0, -49, -7}
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数学
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清除[p,x,a0,b0]p[x,-1]=0;p[x,0]=1;p[x,1]=x-1;p[x_,n]:=p[x,n]=x*p[x、n-1]-2*x^2*p[x,n-2]+x^3*p[x-3];g=表格[ExpandAll[p[x,n]],{n,0,15}];a=表[系数列表[p[x,n],x],{n,0,15}];压扁[a]
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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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