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A207327型 |
| Riordan阵列(1,x*(1+x)^2/(1-x))。 |
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1, 0, 1, 0, 3, 1, 0, 4, 6, 1, 0, 4, 17, 9, 1, 0, 4, 32, 39, 12, 1, 0, 4, 48, 111, 70, 15, 1, 0, 4, 64, 240, 268, 110, 18, 1, 0, 4, 80, 432, 769, 530, 159, 21, 1, 0, 4, 96, 688, 1792, 1905, 924, 217, 24, 1, 0, 4
(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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0,5
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评论
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三角形T(n,k),按行读取,由(0,3,-5/3,4/15,-3/5,0,0,0,0,0A084938号.
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链接
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配方奶粉
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通用公式:(1-x)/(1-(1+y)*x-2*y*x^2-y*x*3)。
T(n,k)=T(n-1,k)+T(n-1,k-1)+2*T(n-2,k-1)+T(n-3,k-1),T(0,0)=1,T(1,0)=0。
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例子
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三角形开始:
1
0, 1
0, 3, 1
0, 4, 6, 1
0, 4, 17, 9, 1
0, 4, 32, 39, 12, 1
0, 4, 48, 111, 70, 15, 1
0, 4, 64, 240, 268, 110, 18, 1
0, 4, 80, 432, 769, 530, 159, 21, 1
0, 4, 96, 688, 1792, 1905, 924, 217, 24, 1
0, 4, 112, 1008, 3584, 5503, 3999, 1477, 284, 27, 1
0, 4, 128, 1392, 6400, 13440, 13842, 7483, 2216, 360, 30, 1
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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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