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A218543型 |
| 使用中描述的迭代过程从2^(n+1)-1到(2^n)-1时遇到奇数的次数A071542号. |
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11
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0, 1, 1, 2, 3, 6, 9, 18, 31, 54, 93, 167, 306, 574, 1088, 2081, 3998, 7696, 14792, 28335, 54049, 102742, 194948, 369955, 703335, 1340834, 2563781, 4915378, 9444799, 18180238, 35047841, 67660623, 130806130, 253252243, 491034479, 953404380, 1853513715, 3607440034
(列表;图表;参考;听;历史;文本;内部格式)
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偏移
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0,4
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评论
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比率a(n)/A213709型(n) 发展为:0,1,0.5,0.666…,0.6,0.666..,0.529…,0.6,0.574…,0.551…,0.520…,0.506…,0.498…,0.499…,0.503…,0.511…,0.521…,0.531…,0.539…,0.545…,0.547…,0.546…,0.542…,0.536…,0.531..,0.525…,0.520..,0.516…,0.512…,0.508…,0.504…,0.501…,0.498..,0.497…,0.495。。。, 0.495..., 0.495..., 0.495..., 0.496..., 0.496..., 0.497..., 0.497..., 0.498..., 0.498..., 0.498..., 0.497..., 0.497...
1, 2, 1.5, 2, 1.125, 1.5, 1.348..., 1.227..., 1.081..., 1.025..., 0.994..., 0.997..., 1.013..., 1.045..., 1.086..., 1.132..., 1.172..., 1.198..., 1.208..., 1.201..., 1.182..., 1.157..., 1.131..., 1.107..., 1.085..., 1.065..., 1.047..., 1.031..., 1.016..., 1.004..., 0.994..., 0.986..., 0.981..., 0.979..., 0.978..., 0.979..., 0.981..., 0.983..., 0.986..., 0.988..., 0.989..., 0.990..., 0.991..., 0.991..., 0.989..., 0.987...
观察结果:A179016号至少在目前计算的术语中,似乎有点偏爱奇数,然后是偶数。
请将此序列与A218542型在“比率模式”(以链接形式给出)中,查看上述比率的发展是否平稳(几乎是“连续”的)。
这种平滑的原因是什么?(推测:“卷须”的分布,即豆茎中的有限子树及其几乎分形的性质?Cf:A218787型.)
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链接
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配方奶粉
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例子
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(2^0)-1(0)由(2^1)-1(1)减去一步得出A000120号(1) 从1开始。零不是奇数,因此a(0)=0。
(2^1)-1(1)是通过减法一步从(2^2)-1(3)得到的A000120号(3) 从3开始。一是奇数,所以a(1)=1。
(2^2)-1(3)由(2^3)-1(7)通过两步第一次减法得到A000120号(7) 从7到>4,然后减去A000120号(4) 从4->3。四不是奇数,但三是奇数,所以a(2)=1。
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黄体脂酮素
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(带有记忆definec-macro的方案):(definec(A218543型n) (如果(0?n)0(let循环((i(-(expt 2(1+n))n 2))(s 0))(cond((pow2?(1+i))(+s(模i2)))(else(循环(-i(A000120号i) )(+s(模i2))))
(定义(功率2?n)(和(>n 0)(零?(A004198bi n(-n 1))));;A004198号按位AND
;; 或使用求和函数添加:
(定义(添加intfun lowlim uplim)(让sumloop
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交叉参考
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关键词
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非n
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作者
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状态
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经核准的
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