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A171412号 |
| 按行读取的三角形(n>=1):T(n,k)=[x^k]p(x,n),其中p(x,n)=(x^3+x^2+x+1)^ floor(n/2),如果n是奇数,则p(x,n)=(x+1)*p(x,n-1)。 |
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1
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1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 3, 4, 3, 2, 1, 1, 3, 5, 7, 7, 5, 3, 1, 1, 3, 6, 10, 12, 12, 10, 6, 3, 1, 1, 4, 9, 16, 22, 24, 22, 16, 9, 4, 1, 1, 4, 10, 20, 31, 40, 44, 40, 31, 20, 10, 4, 1, 1, 5, 14, 30, 51, 71, 84, 84, 71, 51, 30, 14, 5, 1, 1, 5, 15, 35, 65, 101, 135, 155, 155, 135, 101, 65, 35, 15, 5, 1
(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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1,9
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链接
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例子
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三角形开始:
1;
1, 1;
1, 1, 1, 1;
1, 2, 2, 2, 1;
1, 2, 3, 4, 3, 2, 1;
1, 3, 5, 7, 7, 5, 3, 1;
1, 3, 6, 10, 12, 12, 10, 6, 3, 1;
1, 4, 9, 16, 22, 24, 22, 16, 9, 4, 1;
1, 4, 10, 20, 31, 40, 44, 40, 31, 20, 10, 4, 1;
1, 5, 14, 30, 51, 71, 84, 84, 71, 51, 30, 14, 5, 1;
1, 5, 15, 35, 65, 101, 135, 155, 155, 135, 101, 65, 35, 15, 5, 1;
1, 6, 20, 50, 100, 166, 236, 290, 310, 290, 236, 166, 100, 50, 20, 6, 1;
...
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数学
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p[x_,n_]:=p[x,n]=如果[Mod[n,2]==0,(x+1)*p[x、n-1],(x^3+x^2+x+1)^楼层[n/2]]
压扁[表[系数列表[p[x,n],x],{n,1,12}]]
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黄体脂酮素
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(最大值)
p(x,n):=如果mod(n,2)=0,则(x+1)*p(x、n-1)else(x^3+x^2+x+1)^floor(n/2)$
T(n,k):=ratcoef(p(x,n),x,k)$
create_list(T(n,k),n,1,12,k,0,hipow(fullratsimp(p(x,n)),x));
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交叉参考
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关键字
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非n,容易的,标签
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作者
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扩展
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状态
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经核准的
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