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A221641型 由反对偶T(n,k)读取的平方数组,其中k列列出1与j-1零交错,如果k=j^2或k=j*2+j,否则k列只列出零,其中n>=1,j>=1、k>=1。 1
1,1,1,1,1,1,1,0,1,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0 (列表;桌子;图表;参考;;历史;文本;内部格式)
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第n个反对角线中的个数等于n的除数。
如果k不是四分之一平方,那么k列的所有项都为零A002620型.
如果只有前两个元素是第n个反对角线中的元素,那么n是素数。
链接
例子
前16行的前24个元素是
1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,...
1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,...
1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,...
1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,...
1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,...
1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,...
1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,...
1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,...
1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,...
1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,...
1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,...
1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,...
1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,...
1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,...
1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,...
1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,...
...
对于n=7,第7个反对角线为1,1,0,0,0,1,0。1的数量等于d(7)=A000005号(7) = 2.
对于n=16,第16条对角线为1,1,0,1,0,1,0-0,0,00,0,1。1的数量等于d(16)=A000005号(16) = 5.
前几个反对症(压缩)是:
1 1
2 11
3 110
4 1101
5 11000
6 110101
7 1100000
8 11010100
9 1100000001
10 1101010000
11 11000000000
12 110101001001
...
交叉参考
反对角线和给出A000005号.
关键词
非n,
作者
奥马尔·波尔2013年1月31日
状态
经核准的

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最后修改时间:美国东部时间2024年4月17日21:01。包含371767个序列。(在oeis4上运行。)