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(来自的问候整数序列在线百科全书!)
A244832号 T(n,k)=长度为n 0..k的数组的数量,每个部分和从一开始就与其平均值相差不超过两个标准偏差。 14
2, 3, 4, 4, 9, 8, 5, 16, 25, 16, 6, 25, 62, 75, 30, 7, 34, 117, 242, 219, 60, 8, 47, 200, 573, 950, 657, 120, 9, 62, 315, 1162, 2833, 3744, 1947, 230, 10, 79, 482, 2187, 6916, 13785, 14802, 5737, 460, 11, 98, 679, 3792, 14859, 40894, 68311, 58662, 16835, 920, 12, 115 (列表;桌子;图表;参考文献;;历史;文本;内部格式)
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表格开始
...2.....3......4.......5........6.........7.........8..........9.........10
...4.....9.....16......25.......34........47........62.........79.........98
...8....25.....62.....117......200.......315.......482........679........948
..16....75....242.....573.....1162......2187......3792.......6015.......9262
..30...219....950....2833.....6916.....14859.....29588......53105......91096
..60...657...3744...13785....40894....102301....234128.....469965.....899962
.120..1947..14802...68311...241778....707567...1843104....4169823....8845276
.230..5737..58662..339839..1430672...4909019..14502774...37082231...87596238
.460.16835.232916.1677913..8475456..34131599.115222470..330409737..864410260
.920.50505.926120.8250991.50269530.235879457.912575878.2948726733.8580746182
以整数形式计算,使用6倍0..k平均值和36倍方差,平均值6(k)=3*k;var36(k)=6*k*(2*k+1)-平均值6(k)^2;则(6*sum{x(i),i=1..j}-j*mean6(k))^2<=4*j*var36(k),对于所有j=1..n。
链接
例子
n=6 k=4的一些解
..2….3….0….4….3….2….3….0….4….1….4….0….4….0….1….3
..4....4....4....2....2....1....4....3....3....3....3....4....3....2....0....2
..3....1....4....1....1....3....0....1....0....0....3....0....1....3....1....4
..0....2....3....4....2....2....1....4....2....1....3....1....0....3....1....1
..2....1....1....0....2....1....1....2....4....2....3....0....2....3....3....3
..3....1....2....3....2....2....1....4....2....0....0....4....1....1....0....0
交叉参考
第1行是A000027号(n+1)。
关键词
非n,
作者
R.H.哈丁2014年7月6日
状态
经核准的

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