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A173814号 |
| Hadamard-Cartan G_2自相似2^n矩阵的系数:M={{2,-1},{-3,2}} |
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1
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1, 1, -4, 1, 1, -16, 30, -16, 1, 1, -64, 676, -2752, 4678, -2752, 676, -64, 1, 1, -256, 13560, -316160, 3830300, -25002240, 87841480, -180202240, 227671110, -180202240, 87841480, -25002240, 3830300, -316160, 13560, -256, 1, 1, -1024
(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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0,3
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评论
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行总和为:
{1, -2, 0, 400, 0, 231040000000000, 0,...}.
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链接
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配方奶粉
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M(2)={{2,-1},{-3,2}};
M(4)={{4,-2,-2,1},{-6,4,3,-2},},-6,3,4,-2},{9,-6,-6,4}},等等。
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例子
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{1},
{1, -4, 1},
{1, -16, 30, -16, 1},
{1, -64, 676, -2752, 4678, -2752, 676, -64, 1},
{1, -256, 13560, -316160, 3830300, -25002240, 87841480, -180202240, 227671110, -180202240, 87841480, -25002240, 3830300, -316160, 13560, -256, 1},
{1, -1024, 255376, -30325760, 2060069240, -86239093760, 2306160223920, -40571580718080, 489632650203420, -4209374685189120, 26512089196724880, -124638699726597120, 442120325884773960, -1188638208146519040, 2420933452415430960, -3721572797083978752, 4298314898249481798, -3721572797083978752, 2420933452415430960, -1188638208146519040, 442120325884773960, -124638699726597120, 26512089196724880, -4209374685189120, 489632650203420, -40571580718080, 2306160223920, -86239093760, 2060069240, -30325760, 255376, -1024, 1}, ...
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数学
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MatrixJoinH[A_,B_]:=转置[Join[Transpose[A],Transpose[B]]]
KroneckerProduct[M_,N_]:=模块[{M1,N1,LM,LN,N2},
M1=M;
N1=N;
LM=长度[M1];
LN=长度[N1];
Do[M1[[i,j]]=M1[[i,j]]N1,{i,1,LM},{j,1,LM}];
Do[M1[[i,1]]=MatrixJoinH[M1[i,1]],M1[[i,j]],{j,2,LM},{i,1,LM}];
N2={};
执行[AppendTo[N2,M1[[i,1]],{i,1,LM}];
N2=压扁[N2];
分区[N2,LM*LN,LM*L N]]
阿达玛矩阵[2]:={{2,-1},{-3,2}}
HadamardMatrix[n_]:=模块[{m},
m={{2,-1},{-3,2}};
Kronecker产品[m,HadamardMatrix[n/2]]
表[Hadamard矩阵[2^n],{n,1,4}]
联接[{{1}},表[CoefficientList[CharacteristicPolynomial[HadamardMatrix[2^n],x],{n,1,6}]]
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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