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228125元 |
| 按行读取的三角形:T(n,k)=项和等于n的半标准Young表的数量,表的形状为k的分区。 |
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1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 4, 4, 2, 1, 1, 5, 7, 5, 2, 1, 1, 6, 10, 9, 5, 2, 1, 1, 7, 14, 16, 10, 5, 2, 1, 1, 8, 19, 24, 19, 11, 5, 2, 1, 1, 9, 24, 37, 32, 21, 11, 5, 2, 1, 1, 10, 30, 51, 52, 38, 22, 11, 5, 2, 1, 1, 11, 37, 71, 79, 66, 41, 23, 11, 5, 2, 1, 1, 12, 44, 93, 117, 106, 74, 43, 23, 11, 5, 2, 1, 1, 13, 52, 122, 166, 166, 125, 80, 44, 23, 11, 5, 2, 1, 1, 14, 61, 153, 231, 251, 204, 139, 83, 45, 23, 11, 5, 2, 1, 1, 15, 70, 193, 311, 367, 322, 236, 147, 85, 45, 23, 11, 5, 2, 1
(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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1,5
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评论
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行的反向似乎收敛到A005986号: 1, 2, 5, 11, 23, 45, 87, 160, ...
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链接
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例子
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T(6,3)=7,因为条目和=6且形状为3的任何分区的7 SSYT为
114 , 123 , 222 , 11 , 12 , 13 , 1
4 3 2 2
三
三角形开始:
1;
1, 1;
1, 2, 1;
1, 3, 2, 1;
1, 4, 4, 2, 1;
1, 5, 7, 5, 2, 1;
1, 6, 10, 9, 5, 2, 1;
1, 7, 14, 16, 10, 5, 2, 1;
1, 8, 19, 24, 19, 11, 5, 2, 1;
1, 9, 24, 37, 32, 21, 11, 5, 2, 1;
1, 10, 30, 51, 52, 38, 22, 11, 5, 2, 1;
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数学
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钩子长度[(par_)?分区q]:=表[计数[par,q_/;q>=j]+1-i+par[[i]]-j,{i,长度[par]},{j,par[i]}];
表[Tr[(系列系数[q^(#1.Range[Length[#1]])/次数@@(1-q^#1&)/@Flatten[hooklength[#1]],{q,0,w}]&)/@分区[n]],{w,24},{n,w}]
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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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