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A153878号 |
| 三角序列递归:A(n,k)=A(n-1,k-1)+A(n-1,k)+(-12+5n)(-9+5n)*A(n-2,k-1)。 |
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2, 3, 3, 2, 44, 2, 2, 310, 310, 2, 2, 728, 9772, 728, 2, 2, 1486, 127680, 127680, 1486, 2, 2, 2684, 564510, 6099016, 564510, 2684, 2, 2, 4422, 1857042, 117489766, 117489766, 1857042, 4422, 2, 2, 6800, 5050056, 789984688, 7480610540, 789984688, 5050056
(列表;桌子;图表;参考;听;历史;文本;内部格式)
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偏移
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1,1
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评论
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行和为:2*乘积[5*k+3,{k,0,n-1}];
{2, 6, 48, 624, 11232, 258336, 7233408, 238702464, 9070693632, 390039826176,
18721911656448, 992261317791744,...}.
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链接
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配方奶粉
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A(n,k)=A(n-1,k-1)+A(n-1,k)+(-12+5 n)(-9+5 n。
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例子
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{2},
{3, 3},
{2, 44, 2},
{2, 310, 310, 2},
{2, 728, 9772, 728, 2},
{2, 1486, 127680, 127680, 1486, 2},
{2684、564510、6099016、564510、2684、2},
{2, 4422, 1857042, 117489766, 117489766, 1857042, 4422, 2},
{2, 6800, 5050056, 789984688, 7480610540, 789984688, 5050056, 6800, 2},
{2, 9918, 11946332, 3688306180, 191319650656, 191319650656, 3688306180, 11946332, 9918, 2},
{2, 13876, 25406650, 13689263280, 1757597669700, 15179286949432, 1757597669700, 13689263280, 25406650, 13876, 2},
{21887744969979042959290666108002604616202485287389425502485287389425502108002604616202429592906664969979018774,2}
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数学
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A[1,1]=2;A[2,1]:=A[2,2]=3;
A[3,2]=48-4;A[4,2]=624/2-2;A[4,3]=624/2-2;
A[n_,1]:=2;A[n_,n_]:=2;
A[n_,k_]:=A[n-1,k-1]+A[n-1,k]+(-12+5 n)(-9+5 n)*A[n-2,k-1];
a=表格[a[n,k],{n,12},{k,n}];压扁[a]
表[Apply[Plus,a[[n]]],{n,1,12}];
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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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