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A139809号 |
| 基于Chebyshev T的乘积多项式序列的系数三角形:T[(x,n)的微分,得到U(x,n):p(x,n=product_{m=0..n}和{i=0..m}(d/dx)T(x,i+1)。 |
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1, 1, 4, -2, -4, 28, 48, 4, 32, -32, -544, -368, 1472, 1536, 12, 48, -672, -2656, 8304, 36480, -15360, -144384, -56064, 166912, 122880, 36, 432, -1440, -28320, -13296, 549888, 811264, -4222976, -8578560, 13056000, 35942400, -10592256, -64811008, -17072128, 41877504, 23592960, -144, -864
(列表;图表;参考;听;历史;文本;内部格式)
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抵消
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1,3
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评论
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行总和:{1,5,70,2100,115500,10510500,1471470000,300179880000,85551265800000,3293723733300000,16666242090498000000}。
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链接
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配方奶粉
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p(x,n)=乘积{m=0..n}和{i=0..m}(d/dx)T(x,i+1)的系数。
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例子
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{1} ,
{1, 4},
{-2, -4, 28, 48},
{4,32, -32, -544, -368, 1472, 1536},
{12, 48, -672, -2656, 8304, 36480, -15360, -144384, -56064, 166912, 122880}, {36, 432, -1440, -28320, -13296, 549888, 811264, -4222976, -8578560, 13056000,35942400, -10592256, -64811008, -17072128, 41877504, 23592960},
{-144, -864, 20448, 124800, -885696, -5887104, 13678208, 117986816, -57368064,
-1173855232、473961472、6273417216、5899501568、-183114887168、-252848595968、,
27066105856, 53500837888, -12863668224, -56189255680, -10932453376,23290970112, 10569646080}
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数学
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p[x_,n_]=乘积[Sum[D[ChebyshevT[i+1,x],x]、{i,0,m}]、{m,0,n}]表[ExpandAll[p[x,n]],{n,0,10}]a=表[CoefficientList[p[x,n],x]{n,0,10}]展平[a]
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交叉参考
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关键词
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未经编辑的,标签,签名
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作者
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状态
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经核准的
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