搜索: a324400-编号:a324400
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A305801型
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| 词法上最早的无限序列,使得a(i)=a(j)=>f(i)=f(j),其中f(n)=0,如果n是奇数素数,f(n。 |
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+10 67
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1, 2, 3, 4, 3, 5, 3, 6, 7, 8, 3, 9, 3, 10, 11, 12, 3, 13, 3, 14, 15, 16, 3, 17, 18, 19, 20, 21, 3, 22, 3, 23, 24, 25, 26, 27, 3, 28, 29, 30, 3, 31, 3, 32, 33, 34, 3, 35, 36, 37, 38, 39, 3, 40, 41, 42, 43, 44, 3, 45, 3, 46, 47, 48, 49, 50, 3, 51, 52, 53, 3, 54, 3, 55, 56, 57, 58, 59, 3, 60, 61, 62, 3, 63, 64, 65, 66, 67, 3, 68, 69, 70, 71, 72, 73, 74, 3, 75, 76, 77, 3, 78, 3, 79, 80
(列表;图表;参考;听;历史;文本;内部格式)
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最初的名字是:“a(奇素数)=常量序列的过滤序列”,这源于这样一个事实:对于所有i,j,a(i)=a(j)=>b(i)=b(j),对于任何获得所有奇素数常量值的序列bA065091号.
例如,我们有所有i,j:
在这个过滤器序列的“上面”有几个过滤器序列(这意味着它们具有更好的等价类划分),例如,对于所有i,j,我们都有:
[其中奇素数进一步区分为]
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链接
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配方奶粉
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a(1)=1,a(2)=2;对于n>2,奇数素数的a(n)=3,以及(n)=2+n-A000720号(n) 对于复合n。
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数学
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数组[If[#<=2,#,If[PrimeQ[#],3,2+#-PrimePi[#]]&,105](*迈克尔·德弗利格2021年10月18日*)
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黄体脂酮素
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(PARI)A305801型(n) =如果(n<=2,n,if(i素数(n),3,2+n-素数(n));
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交叉参考
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囊性纤维变性。A305800型,A305890型,A305891型,A305896型,A318500型,A318888型,A319346型,A319347型,A319349型,A319701型,A322591型,A322809型,A322810型,A323078型,A323367型,A323082型,A323369型,A323370型,A323371型,A323374型,A323400型,A324401型,A326199型,A326201型,A326203型,A326203型,A328470型,A329608型,A331174型,A331730型,A331301型(具有较粗等价类划分的序列)。
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关键词
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非n
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作者
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扩展
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名称已更改,注释部分由重写安蒂·卡图恩2021年10月17日
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状态
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经核准的
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1, 1, 1, 1, 3, 1, 3, 1, 1, 3, 15, 1, 21, 3, 3, 1, 9, 1, 45, 3, 3, 15, 33, 1, 9, 21, 1, 3, 105, 3, 15, 1, 15, 9, 9, 1, 171, 45, 21, 3, 105, 3, 231, 15, 3, 33, 69, 1, 9, 9, 9, 21, 351, 1, 45, 3, 45, 105, 435, 3, 465, 15, 3, 1, 63, 15, 561, 9, 33, 9, 315, 1, 333, 171, 9, 45, 45, 21, 195, 3, 1, 105, 861, 3, 27, 231, 105, 15, 495, 3, 63, 33, 15, 69
(列表;图表;参考;听;历史;文本;内部格式)
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1,5
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评论
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链接
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配方奶粉
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对于所有n>=0,a(2^n)=a(3^n)=1,a(5^n)=a(7^n)=3^n。
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黄体脂酮素
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(PARI)
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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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1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 32, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 44, 49, 50, 51, 44, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 58, 62, 65, 66, 67, 68, 69, 70, 58, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 80
(列表;图表;参考;听;历史;文本;内部格式)
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1,2
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评论
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对于所有i,j:
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链接
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黄体脂酮素
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(PARI)
up_to=100000;
rgs_transform(invec)={my(om=Map(),outvec=vector(length(invec)),u=1);对于(i=1,长度(invesc),如果(mapisdefined(om,invec[i]),my(pp=mapget(om,invec[i];
A046523号(n) ={my(f=vecsort(factor(n)[,2],4),p);prod(i=1,#f,(p=nextprime(p+1))^f[i]);};\\发件人A046523号
A048250型(n) =如果(n<1,0,sumdiv(n,d,if(核心(d)==d,d));
v295300=rgs_transform(向量(up_to,n,Aux295300(n)));
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交叉参考
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囊性纤维变性。A003557号,A046523号,A048250型,A101296号,A286360型,A291750型,A291751型,A291752型,A291757型,A291758型,A295888型,296090加元,A322021型,A326199型.
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关键词
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非n
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作者
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扩展
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状态
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经核准的
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1, 1, 2, 1, 3, 2, 4, 1, 5, 3, 5, 2, 5, 4, 6, 1, 7, 5, 8, 3, 9, 5, 9, 2, 10, 5, 8, 4, 11, 6, 12, 1, 8, 7, 8, 5, 11, 8, 8, 3, 6, 9, 13, 5, 11, 9, 14, 2, 14, 10, 10, 5, 11, 8, 11, 4, 15, 11, 15, 6, 9, 12, 13, 1, 11, 8, 15, 7, 13, 8, 13, 5, 16, 11, 16, 8, 13, 8, 13, 3, 15, 6, 8, 9, 17, 13, 18, 5, 16, 11, 13, 9, 14, 14, 18, 2, 6, 14, 15, 10, 16, 10, 8, 5, 15
(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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1,3
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评论
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对于所有i,j:
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链接
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黄体脂酮素
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(PARI)
up_to=65537;
rgs_transform(invec)={my(om=Map(),outvec=vector(length(invec)),u=1);对于(i=1,长度(invesc),如果(mapisdefined(om,invec[i]),my(pp=mapget(om,invec[i];
v335880=rgs_transform(向量(up_to,n,Aux335880(n)));
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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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1, 1, 2, 1, 3, 2, 2, 1, 4, 3, 3, 2, 5, 2, 6, 1, 7, 4, 8, 3, 9, 3, 3, 2, 10, 5, 11, 2, 12, 6, 2, 1, 6, 7, 6, 4, 13, 8, 14, 3, 15, 9, 16, 3, 17, 3, 3, 2, 4, 10, 18, 5, 19, 11, 18, 2, 20, 12, 12, 6, 21, 2, 22, 1, 23, 6, 24, 7, 6, 6, 7, 4, 25, 13, 26, 8, 6, 14, 8, 3, 27, 15, 15, 9, 28, 16, 29, 3, 30, 17, 14, 3, 9, 3, 29, 2, 31, 4, 17, 10, 32, 18, 33, 5, 34
(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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1,3
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评论
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对于所有i,j:
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链接
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黄体脂酮素
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(PARI)
up_to=65537;
rgs_transform(invec)={my(om=Map(),outvec=vector(length(invec)),u=1);对于(i=1,长度(invesc),如果(mapisdefined(om,invec[i]),my(pp=mapget(om,invec[i];
A046523号(n) ={my(f=vecsort(factor(n)[,2],4),p);prod(i=1,#f,(p=nextprime(p+1))^f[i]);};\\发件人A046523号
A336467飞机(n) ={my(f=因子(n));prod(k=1,#f~,if(2==f[k,1],1(A000265号(f[k,1]+1))^f[k(2]));};
v336390=rgs_transform(向量(up_to,n,Aux336390(n)));
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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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1, 1, 2, 1, 3, 2, 4, 1, 5, 3, 6, 2, 6, 4, 7, 1, 3, 5, 6, 3, 8, 6, 9, 2, 10, 6, 11, 4, 9, 7, 12, 1, 13, 3, 14, 5, 15, 6, 16, 3, 15, 8, 17, 6, 18, 9, 19, 2, 10, 10, 20, 6, 17, 11, 21, 4, 16, 9, 22, 7, 19, 12, 23, 1, 13, 13, 6, 3, 8, 14, 9, 5, 15, 15, 18, 6, 24, 16, 19, 3, 25, 15, 17, 8, 26, 17, 27, 6, 17, 18, 28, 9, 27, 19, 29, 2, 6, 10, 30, 10, 17, 20, 22, 6, 31
(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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1,3
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评论
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链接
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黄体脂酮素
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(PARI)
up_to=65537;
rgs_transform(invec)={my(om=Map(),outvec=vector(length(invec)),u=1);对于(i=1,长度(invesc),如果(mapisdefined(om,invec[i]),my(pp=mapget(om,invec[i];
A005940号(n) ={my(p=2,t=1);n--;直到(!n\=2,if((n%2),(t*=p),p=下一素数(p+1));(t);};
A046523号(n) ={my(f=vecsort(factor(n)[,2],4),p);prod(i=1,#f,(p=nextprime(p+1))^f[i]);};\\发件人A046523号
v336159=rgs_transform(向量(up_to,n,Aux336159(n)));
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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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1, 1, 2, 1, 2, 2, 3, 1, 4, 2, 3, 2, 3, 3, 5, 1, 2, 4, 6, 2, 7, 3, 6, 2, 4, 3, 8, 3, 6, 5, 6, 1, 7, 2, 7, 4, 6, 6, 7, 2, 3, 7, 9, 3, 10, 6, 9, 2, 11, 4, 5, 3, 6, 8, 7, 3, 12, 6, 9, 5, 6, 6, 13, 1, 7, 7, 9, 2, 12, 7, 9, 4, 6, 6, 10, 6, 12, 7, 9, 2, 14, 3, 6, 7, 5, 9, 12, 3, 6, 10, 12, 6, 12, 9, 12, 2, 3, 11, 13, 4, 6, 5, 6, 3, 15
(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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1,3
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评论
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对于所有i,j:
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链接
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黄体脂酮素
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(PARI)
up_to=65537;
rgs_transform(invec)={my(om=Map(),outvec=vector(length(invec)),u=1);对于(i=1,长度(invesc),如果(mapisdefined(om,invec[i]),my(pp=mapget(om,invec[i];
A046523号(n) ={my(f=vecsort(factor(n)[,2],4),p);prod(i=1,#f,(p=nextprime(p+1))^f[i]);};\\发件人A046523号
v336471=rgs_transform(向量(up_to,n,Aux336471(n)));
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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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1, 2, 2, 3, 2, 4, 3, 5, 2, 6, 4, 7, 3, 7, 5, 8, 2, 9, 6, 10, 4, 11, 7, 12, 3, 10, 7, 13, 5, 12, 8, 14, 2, 15, 9, 16, 6, 17, 10, 18, 4, 17, 11, 19, 7, 20, 12, 21, 3, 16, 10, 22, 7, 19, 13, 23, 5, 18, 12, 23, 8, 21, 14, 24, 2, 25, 15, 26, 9, 27, 16, 28, 6, 29, 17, 30, 10, 31, 18, 32, 4, 27, 17, 33, 11, 34, 19, 35, 7, 31, 20, 36, 12, 37, 21, 38, 3, 26, 16, 39, 10, 33, 22
(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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0,2
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评论
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链接
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配方奶粉
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对于所有n>=0,a(2^n)=2。
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黄体脂酮素
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(PARI)
up_to=65537;
rgs_transform(invec)={my(om=Map(),outvec=vector(length(invec)),u=1);对于(i=1,长度(invesc),如果(mapisdefined(om,invec[i]),my(pp=mapget(om,invec[i];
A002487号(n) ={my(a=1,b=0);while(n>0,if(bitand(n,1),b+=a,a+=b);n>>=1);(b);};\\发件人A002487号
A005940号(n) ={my(p=2,t=1);n--;直到(!n\=2,if((n%2),(t*=p),p=nextprime(p+1));t};
A046523号(n) ={my(f=vecsort(factor(n)[,2],4),p);prod(i=1,#f,(p=nextprime(p+1))^f[i]);};\\发件人A046523号
v323889=rgs_transform(向量(1+up_to,n,Aux323889(n-1));
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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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A324401型
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| 词法上最早的序列,使得a(i)=a(j)=>f(i)=f(j)对于所有i,j>=1,其中f(n)=-1如果n是奇数素数,f(n。 |
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+10 7
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1, 2, 3, 4, 3, 5, 3, 4, 6, 7, 3, 8, 3, 9, 10, 4, 3, 11, 3, 12, 13, 14, 3, 15, 16, 17, 18, 19, 3, 20, 3, 4, 21, 22, 23, 24, 3, 25, 26, 27, 3, 28, 3, 29, 30, 31, 3, 32, 33, 34, 35, 36, 3, 37, 38, 39, 40, 41, 3, 42, 3, 43, 44, 4, 45, 46, 3, 47, 48, 49, 3, 50, 3, 51, 52, 53, 54, 55, 3, 56, 57, 58, 3, 59, 60, 61, 62, 63, 3, 64, 65, 66, 67, 68, 69, 70, 3, 71, 72, 73, 3, 74, 3, 75, 76
(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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1,2
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评论
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对于所有i,j:
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链接
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配方奶粉
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如果n<=2,a(n)=n,对于n>2,如果n是奇数素数,a(n)=3,如果n=2^k,当k>=2时,a(n=4,否则a(n-A000523号(n)-A000720号(n) 。
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黄体脂酮素
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(PARI)
(PARI)
up_to=65537;
rgs_transform(invec)={my(om=Map(),outvec=vector(length(invec)),u=1);对于(i=1,长度(invesc),如果(mapisdefined(om,invec[i]),my(pp=mapget(om,invec[i];
Aux324401(n)=如果(n>2)&&(i素数(n)||!比特(n,n-1),-(2-(n%2)),n);
\\同样:Aux32401(n)=if(n<=2,n,if(isprime(n),-1,if(!bit and(n,n-1),-2,n));
v324401=rgs_transform(向量(up_to,n,Aux324401(n)));
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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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1, 1, 2, 1, 3, 4, 5, 1, 6, 7, 8, 9, 3, 10, 11, 1, 12, 13, 14, 7, 15, 16, 17, 18, 19, 7, 17, 20, 6, 21, 22, 1, 23, 24, 25, 6, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 9, 30, 19, 37, 7, 15, 38, 39, 40, 41, 42, 14, 43, 41, 44, 22, 1, 45, 46, 47, 24, 48, 49, 50, 13, 51, 52, 53, 54, 55, 56, 57, 7, 58, 59, 60, 61, 62, 63, 64, 33, 65, 66, 67, 68, 69, 70, 71, 18, 69, 30, 72, 19
(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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1,3
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评论
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链接
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配方奶粉
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a(2^n)=1表示所有n>=0。
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黄体脂酮素
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(PARI)
up_to=65537;
rgs_transform(invec)={my(om=Map(),outvec=vector(length(invec)),u=1);对于(i=1,长度(invesc),如果(mapisdefined(om,invec[i]),my(pp=mapget(om,invec[i];
v331744=rgs_transform(向量(up_to,n,Aux331744(n)));
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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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