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A239931型 |
| 按行读取的三角形,其中第n行列出了σ(4n-3)的对称表示部分。 |
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51
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1, 3, 3, 5, 3, 5, 7, 7, 9, 9, 11, 5, 5, 11, 13, 5, 13, 15, 15, 17, 7, 7, 17, 19, 19, 21, 21, 23, 32, 23, 25, 7, 25, 27, 27, 29, 11, 11, 29, 31, 31, 33, 9, 9, 33, 35, 13, 13, 35, 37, 37, 39, 18, 39, 41, 15, 9, 15, 41, 43, 11, 11, 43, 45, 45, 47, 17, 17, 47, 49, 49, 51, 51, 53, 43, 43, 53, 55, 55, 57, 57, 59, 21, 22, 21, 59, 61, 11, 61, 63, 15, 15,63
(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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1,2
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评论
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第n行是sigma(4n-3)的回文组合。
此外,第n行还列出了中所述螺旋第一象限第n臂中σ的对称表示部分A239660型,参见示例。
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链接
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例子
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不规则三角形开始于:
1;
3, 3;
5, 3, 5;
7, 7;
9, 9;
11, 5, 5, 11;
13, 5, 13;
15, 15;
17, 7, 7, 17;
19, 19;
21, 21;
23, 32, 23;
25, 7, 25;
27号、27号;
29, 11, 11, 29;
31, 31;
。。。
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. _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 15
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. _ _ _ _ _ _ _ _ _ _ _ _ _ 13 |
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. _ _ _ _ _ _ _ _ _ _ _ 11 | |_
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. _ _ _ _ _ _ _ _ _ 9 |_ _ _ |_ | |
. |_ _ _ _ _ _ _ _ _| |_ _ |_ 5 |_|_ |
. | |_ _|_ 5 | |_ _ _ _ _ _ 15
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. _ _ _ _ _ _ _ 7 |_ _ |_ | |_ _ _ _ _ 13 | |
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. | |_ |_|_ _ _ _ 11 | | | |
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. _ _ _ _ _ 5 |_ |_ _ _ _ 9 | | | | | |
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. |_ _ 3 |_ _ _ 7 | | | | | | | |
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. _ _ _ 3 |_|_ _ 5 | | | | | | | | | |
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对于n=7,我们有4*7-3=25和第25行A237593型是[13,5,3,1,2,1,1,2,1,3,5,13]和第24行A237593型是[13,4,3,2,1,1,1,1,2,3,4,13],因此在两条Dyck路径之间有三个区域(或部分)的大小[13,5,13]。
25的除数之和是1+5+25=A000203号(25) = 31. 另一方面,sigma(25)对称表示的部分之和为13+5+13=31,等于25的除数之和。
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交叉参考
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囊性纤维变性。A000203号,A112610号,A196020型,A236104型,A235791型,A237270型,A237271号,237591加元,A237593型,A239660型,A239932型-A239934型,A244050型,A245092型,A262626型.
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关键词
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非n,标签
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作者
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状态
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经核准的
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