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A176467号 |
| 对称三角形:q=2;c(n,q)=乘积[1-q^i,{i,1,n}];t(n,m,q)=A060187号(n,m)-c(n,q)/(c(m,q)*c(n-m,q |
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1, 1, 1, 1, 4, 1, 1, 17, 17, 1, 1, 62, 196, 62, 1, 1, 207, 1528, 1528, 207, 1, 1, 660, 9893, 22154, 9893, 660, 1, 1, 2053, 57991, 247913, 247913, 57991, 2053, 1, 1, 6298, 320818, 2388134, 4474228, 2388134, 320818, 6298, 1, 1, 19163, 1712906, 20919938
(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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行总和为:
{1, 2, 6, 36, 322, 3472, 43262, 615916, 9904730, 177511112, 3486135606,...}.
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链接
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配方奶粉
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q=2;
c(n,q)=乘积[1-q^i,{i,1,n}];
t(n,m,q)=A060187号(n,m)-c(n,q)/(c(m,q)*c(n-m,q
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例子
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{1},
{1, 1},
{1, 4, 1},
{1,17,17,1},
{1, 62, 196, 62, 1},
{1, 207, 1528, 1528, 207, 1},
{1, 660, 9893, 22154, 9893, 660, 1},
{1, 2053, 57991, 247913, 247913, 57991, 2053, 1},
{1, 6298, 320818, 2388134, 4474228, 2388134, 320818, 6298, 1},
{1, 19163, 1712906, 20919938, 66103548, 66103548, 20919938, 1712906, 19163, 1},
{1, 58016, 8941891, 171953190, 853179296, 1417870818, 853179296, 171953190, 8941891, 58016, 1}
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数学
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p[x_,n_]=(1-x)^(n+1)*Sum[(2*k+1)^n*x^k,{k,0,无限}];
f[n_,m_]:=系数列表[FullSimplify[ExpandAll[p[x,n]],x][[m+1]];
c[n_,q_]=乘积[1-q^i,{i,1,n}];
t[n,m,q]:=f[n,m]-c[n,q]/(c[m,q]*c[n-m,q')+1;
表格[扁平[表格[表格[t[n,m,q],{m,0,n}],{n,0,10}]],{q,2,12}]
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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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