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A093010号 |
| 按行读取的三角形,使得第n行与自然数的卷积形成第n对角线,对于n>=0,每行以1开头。 |
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2
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1, 1, 2, 1, 4, 3, 1, 6, 7, 4, 1, 8, 14, 10, 5, 1, 10, 22, 22, 13, 6, 1, 12, 33, 40, 30, 16, 7, 1, 14, 45, 66, 58, 38, 19, 8, 1, 16, 60, 100, 104, 76, 46, 22, 9, 1, 18, 76, 146, 168, 142, 94, 54, 25, 10, 1, 20, 95, 202, 262, 242, 180, 112, 62, 28, 11, 1, 22, 115, 272, 386, 394, 316
(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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0,3
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评论
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链接
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配方奶粉
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T(n,k)=sum_{j=0..k}(k-j+1)*T(n-k,j),对于所有n>=0,T(0,n)=1。
A000990型(n) =sum_{k=0..floor(n/2)}T(n-k,k)(反对角线和)。
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例子
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T(7,3)=66=1*4+8*3+14*2+10*1=T(4,0)*4+T(4,1)*3+T(4,2)*2+T(4.3)*1;这也是第四对角线的第三项。
第六个反对角线是{1,10,14,4},其和为29=A000990型(6) =6个双线分区的数量。
行开始:
{1},
{1,2}中,
{1,4,3},
{1,6,7,4},
{1,8,14,10,5},
{1,10,22,22,13,6},
{1,12,33,40,30,16,7},
{1,14,45,66,58,38,19,8},
{1,16,60,100,104,76,46,22,9},
{1,18,76,146,168,142,94,54,25,10},
{1,20,95,202,262,242,180,112,62,28,11},
{1,22,115,272,386,394,316,218,130,70,31,12},...
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黄体脂酮素
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(PARI)T(n,k)=如果(n<k | | k<0,0,如果(k==0,1,总和(j=0,min(k,n-k),(k-j+1)*T(n-k,j))
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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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