显示找到的5个结果中的1-5个。
第页1
0, 1, 13, 6, 41, 54, 24, 21, 145, 166, 216, 253, 96, 121, 69, 86, 545, 582, 664, 749, 864, 841, 949, 1014, 384, 433, 477, 486, 793, 278, 344, 357, 2113, 2182, 2328, 2509, 2656, 2793, 2901, 2998, 3456, 3537, 3901, 3366, 3641, 3798, 4056, 3973, 1536, 1633, 1709, 1734, 1801, 1910, 1944, 2037, 3313, 3174, 1112, 1053
黄体脂酮素
(Python)
k、 m=n,n>>1
而m>0:
k ^=米
m>>=1
返回(a:=k**2)^a>>1#柴华武2022年6月30日
0, 1, 1, 2, 3, 2, 3, 5, 5, 3, 4, 7, 6, 7, 4, 5, 9, 11, 11, 9, 5, 6, 11, 10, 15, 10, 11, 6, 7, 13, 13, 19, 19, 13, 13, 7, 8, 15, 14, 23, 12, 23, 14, 15, 8, 9, 17, 23, 27, 21, 21, 27, 23, 17, 9, 10, 19, 18, 31, 22, 27, 22, 31, 18, 19, 10, 11, 21, 21, 35, 39, 29, 29, 39, 35, 21, 21, 11, 12, 23, 22, 39, 20, 47, 30, 47, 20, 39, 22, 23, 12
评论
索引运行为A(0,0)、A(0,1)、A(1,0)、A(0,2)、A(1,1)、A(2,0)等。数组是对称的。
此数组定义了对非负整数的二进制操作,该操作与每个操作数的二进制表示中的零匹配(从右侧开始,并根据需要包含尽可能多的前导零),并将每个匹配零对右侧的两个(可能为空)1字符串串联起来。请参阅示例-彼得·穆恩2021年2月14日。
因此,它可以用于实现乘法,例如在图灵机器中,使用n的素因式分解的“磁带式”一元二进制编码(A156552号). 然而,如果还需要加法或减法,那么这种表示就不是很有用。
配方奶粉
对于所有n>=0,A(0,n)=A(n,0)=n。
对于所有x>=0,y>=0、A(x,y)=A(y,x)。
对于所有x,y,z>=0,A(x,A(y,z))=A(A(x、y),z)。
(结束)
例子
数组左上角{0..15}X{0..16}:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15,
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31,
2, 5, 6, 11, 10, 13, 14, 23, 18, 21, 22, 27, 26, 29, 30, 47,
3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 47, 51, 55, 59, 63,
4, 9, 10, 19, 12, 21, 22, 39, 20, 25, 26, 43, 28, 45, 46, 79,
5, 11, 13, 23, 21, 27, 29, 47, 37, 43, 45, 55, 53, 59, 61, 95,
6, 13, 14, 27, 22, 29, 30, 55, 38, 45, 46, 59, 54, 61, 62, 111,
7, 15, 23, 31, 39, 47, 55, 63, 71, 79, 87, 95, 103, 111, 119, 127,
8, 17, 18, 35, 20, 37, 38, 71, 24, 41, 42, 75, 44, 77, 78, 143,
9, 19, 21, 39, 25, 43, 45, 79, 41, 51, 53, 87, 57, 91, 93, 159,
10, 21, 22, 43, 26, 45, 46, 87, 42, 53, 54, 91, 58, 93, 94, 175,
11, 23, 27, 47, 43, 55, 59, 95, 75, 87, 91, 111, 107, 119, 123, 191,
12, 25, 26, 51, 28, 53, 54, 103, 44, 57, 58, 107, 60, 109, 110, 207,
13, 27, 29, 55, 45, 59, 61, 111, 77, 91, 93, 119, 109, 123, 125, 223,
14, 29, 30, 59, 46, 61, 62, 119, 78, 93, 94, 123, 110, 125, 126, 239,
15, 31, 47, 63, 79, 95, 111, 127, 143, 159, 175, 191, 207, 223, 239, 255,
16, 33, 34, 67, 36, 69, 70, 135, 40, 73, 74, 139, 76, 141, 142, 271,
...
我们按照2021年2月14日评论中的程序考虑n=10,k=41的情况。
首先,以二进制形式写入10和41:
10 = 1010_2
41 = 101001_2
每个数字至少加一个前导零,使零的数量相等:
0 0 1 0 1 0
0 1 0 1 0 0 1
对齐零,但分开一个:
0 0 1 0 1 0
| | | |
0 1 0 1 0 0 1
---------------------------
0 1 0 1 1 0 1 0 1
如上图所示,将这些值串联起来,我们得到10110101_2=181。
所以A(10,41)=181。
(结束)
数学
块[{nn=12,a={1}},Do[AppendTo[a,If[EvenQ[i],Times@@Map[Prime[PrimePi[#1]+1]^#2&@@#&,FactorInteger[#]]&@a[[(i/2)+1]],2a[[[((i-1)/2)+1]]],{i,nn}];表[Floor@Total@Flatten@MapIndexed[#1 2^(#2-1)&,Flatten[Table[2^(PrimePi@#1-1),{#2}]&@@@FactorInteger@#]]&[a[[1+n-k]]*a[[1+6]]],{n,0,nn},{k,n,0(*迈克尔·德弗利格2021年2月24日*)
黄体脂酮素
(平价)
up_to=105;
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);};
A156552号(n) ={my(f=因子(n),p,p2=1,res=0);对于(i=1,#f~,p=1<<(素数(f[i,1])-1);res+=(p*p2*(2^(f[i,2])-1));p2<<=f[i、2]);res};
A341520list(up_to)={my(v=向量(1+up_to,i=0);对于(a=0,oo,对于(col=0,a,i++;如果(i>#v,返回(v));v[i]=A341520sq(col,(a-(col))));(v);};
v341520=A341520列表(up_to);
0, 1, 1, 2, 3, 2, 3, 6, 6, 3, 4, 2, 5, 2, 4, 5, 12, 7, 7, 12, 5, 6, 4, 15, 6, 15, 4, 6, 7, 7, 13, 13, 13, 13, 7, 7, 8, 5, 4, 12, 9, 12, 4, 5, 8, 9, 24, 12, 5, 11, 11, 5, 12, 24, 9, 10, 8, 27, 4, 14, 10, 14, 4, 27, 8, 10, 11, 11, 25, 25, 10, 15, 15, 10, 25, 25, 11, 11, 12, 9, 8, 24, 29, 14, 12, 14, 29, 24, 8, 9, 12, 13, 13, 24, 9, 31, 31, 13, 13, 31, 31, 9, 24, 13, 13
例子
阵列的左上[0..15]x[0..15'部分:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15
1, 3, 6, 2, 12, 4, 7, 5, 24, 8, 11, 9, 13, 15, 10, 14
2, 6, 5, 7, 15, 13, 4, 12, 27, 25, 8, 24, 14, 10, 9, 11
3, 2, 7, 6, 13, 12, 5, 4, 25, 24, 9, 8, 15, 14, 11, 10
4, 12, 15, 13, 9, 11, 14, 10, 29, 31, 26, 30, 8, 24, 27, 25
5, 4, 13, 12, 11, 10, 15, 14, 31, 30, 27, 26, 9, 8, 25, 24
6, 7, 4, 5, 14, 15, 12, 13, 26, 27, 24, 25, 10, 11, 8, 9
7, 5, 12, 4, 10, 14, 13, 15, 30, 26, 25, 27, 11, 9, 24, 8
8, 24, 27, 25, 29, 31, 26, 30, 17, 19, 22, 18, 28, 20, 23, 21
9, 8, 25, 24, 31, 30, 27, 26, 19, 18, 23, 22, 29, 28, 21, 20
10, 11, 8, 9, 26, 27, 24, 25, 22, 23, 20, 21, 30, 31, 28, 29
11, 9, 24, 8, 30, 26, 25, 27, 18, 22, 21, 23, 31, 29, 20, 28
12, 13, 14, 15, 8, 9, 10, 11, 28, 29, 30, 31, 24, 25, 26, 27
13, 15, 10, 14, 24, 8, 11, 9, 20, 28, 31, 29, 25, 27, 30, 26
14, 10, 9, 11, 27, 25, 8, 24, 23, 21, 28, 20, 26, 30, 29, 31
15, 14, 11, 10, 25, 24, 9, 8, 21, 20, 29, 28, 27, 26, 31, 30
黄体脂酮素
(方案)
(Python)
def a003188(n):返回n^(n>>1)
定义a006068(n):
s=1
为True时:
ns=n>>s
如果ns==0:中断
n=n ^ns
s≤1
返回n
定义T(n,k):返回a003188(a006068(n)+a0060608(k))
对于范围(21)中的n:打印([T(n-k,k)对于范围(n+1)中的k])#因德拉尼尔·戈什2017年6月7日
1, 3, 3, 2, 9, 2, 7, 6, 6, 7, 6, 21, 4, 21, 6, 4, 18, 14, 14, 18, 4, 5, 12, 12, 49, 12, 12, 5, 15, 15, 8, 42, 42, 8, 15, 15, 14, 45, 10, 28, 36, 28, 10, 45, 14, 12, 42, 30, 35, 24, 24, 35, 30, 42, 12, 13, 36, 28, 105, 30, 16, 30, 105, 28, 36, 13, 8, 39, 24, 98, 90, 20, 20, 90, 98, 24, 39, 8, 9, 24, 26, 84, 84, 60, 25, 60, 84, 84, 26, 24, 9
例子
阵列的左上[1..15]x[1..15]部分:
1, 3, 2, 7, 6, 4, 5, 15, 14, 12, 13, 8, 9, 11, 10
3, 9, 6, 21, 18, 12, 15, 45, 42, 36, 39, 24, 27, 33, 30
2, 6, 4, 14, 12, 8, 10, 30, 28, 24, 26, 16, 18, 22, 20
7, 21, 14, 49, 42, 28, 35, 105, 98, 84, 91, 56, 63, 77, 70
6, 18, 12, 42, 36, 24, 30, 90, 84, 72, 78, 48, 54, 66, 60
4, 12, 8, 28, 24, 16, 20, 60, 56, 48, 52, 32, 36, 44, 40
5, 15, 10, 35, 30, 20, 25, 75, 70, 60, 65, 40, 45, 55, 50
15, 45, 30, 105, 90, 60, 75, 225, 210, 180, 195, 120, 135, 165, 150
14, 42, 28, 98, 84, 56, 70, 210, 196, 168, 182, 112, 126, 154, 140
12, 36, 24, 84, 72, 48, 60, 180, 168, 144, 156, 96, 108, 132, 120
13, 39, 26, 91, 78, 52, 65, 195, 182, 156, 169, 104, 117, 143, 130
8, 24, 16, 56, 48, 32, 40, 120, 112, 96, 104, 64, 72, 88, 80
9, 27, 18, 63, 54, 36, 45, 135, 126, 108, 117, 72, 81, 99, 90
11, 33, 22, 77, 66, 44, 55, 165, 154, 132, 143, 88, 99, 121, 110
10, 30, 20, 70, 60, 40, 50, 150, 140, 120, 130, 80, 90, 110, 100
0, 2, 13, 5, 31, 27, 10, 8, 59, 63, 54, 52, 20, 22, 49, 17, 115, 119, 126, 124, 108, 110, 121, 105, 40, 42, 37, 45, 103, 99, 34, 32, 227, 231, 238, 236, 252, 254, 233, 249, 216, 218, 213, 221, 247, 243, 210, 208, 80, 82, 93, 85, 79, 75, 90, 88, 203, 207, 198, 196, 68, 70, 193, 65
黄体脂酮素
(Python)
k、 m=n,n>>1
当m>0时:
k ^=米
m>>=1
返回(a:=3*k)^a>>1#柴华武2022年6月30日
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