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A138061号 |
| 该序列是由替换形成的三角形序列:(法语侧边图)1->1,2;2->3;3->4;4->1; 作为马尔可夫式替换形式。结果是微分多项式系数形式。(第一个零省略)。 |
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2, 2, 6, 2, 6, 12, 2, 6, 12, 4, 2, 6, 12, 4, 5, 12, 2, 6, 12, 4, 5, 12, 7, 16, 27, 2, 6, 12, 4, 5, 12, 7, 16, 27, 10, 22, 36, 52, 2, 6, 12, 4, 5, 12, 7, 16, 27, 10, 22, 36, 52, 14, 30, 48, 68, 18, 2, 6, 12, 4, 5, 12, 7, 16, 27, 10, 22, 36, 52, 14, 30, 48, 68, 18, 19, 40, 63, 88, 23, 24
(列表;图表;参考;听;历史;文本;内部格式)
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抵消
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1,1
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评论
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行总和为:
{0, 2, 8, 20, 24, 41, 91, 211, 389, 696, 1307}
这使用了法国侧向图形方法,如:
创建多项式形式的这些序列是为了查看
分形隐式图像看起来像序列,而不是序列:
清除[a,s,p,t,m,n,t,p,k]
(*替换*)
s[1]={1,2};s[2]={3};s[3]={4};s[4]={1};
t[a_]:=压扁[s/(AT)a];
p[0]={1};p[1]=t[p[0]];
p[n]:=t[p[n-1]];
a=表[p[n],{n,0,12}];
k=表[D[应用[Plus,表[
a[[n]][[m]]*x^(m-1),{m,1,长度[a[[n]]}],x],{n,3,13}];
清除[x,y,a,b,f,z,p];
nr=k/。x->z;
p[z_]=应用[次数,nr];
z=x+I*y;
f[x_,y_]=Re[1/(p[z])];
轮廓图[f[x,y],{x,-1.61,1.61},{y,-1.61,1.61},绘图点->{300,300},图像大小->600,颜色函数->(色调[2#]&)]
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链接
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配方奶粉
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(法语侧边图)1->1,2;2->3;3->4;4->1; 代换->p(x,n);out_n,m=系数(dp(x,n)/dx)。
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例子
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省略了第一个零:
{2},
{2, 6},
{2, 6, 12},
{2, 6, 12, 4},
{2, 6, 12, 4, 5, 12},
{2, 6, 12, 4, 5, 12, 7, 16, 27},
{2, 6, 12, 4, 5, 12, 7, 16, 27, 10, 22, 36, 52},
{2, 6, 12, 4, 5, 12, 7, 16, 27, 10, 22, 36, 52, 14, 30, 48, 68, 18},
{2, 6, 12, 4, 5, 12, 7, 16, 27, 10, 22, 36, 52, 14, 30, 48, 68, 18, 19, 40, 63, 88, 23, 24, 50},
{2, 6, 12, 4, 5, 12, 7, 16, 27, 10, 22, 36, 52, 14, 30, 48, 68, 18, 19, 40, 63, 88, 23, 24, 50, 26, 54, 84, 116, 30, 31, 64, 33, 68, 105}
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数学
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清除[a,s,p,t,m,n](*替换*)s[1]={1,2};s[2]={3};s[3]={4};s[4]={1};t[a_]:=压扁[s/@a];p[0]={1};p[1]=t[p[0]];p[n]:=t[p[n-1]];a=表[p[n],{n,0,10}];压扁[a];b=表[系数列表[D[应用[Plus,表[a[n]][[m]]*x^(m-1),{m,1,长度[a[[n]]}],x],x]{n,1,11}];压扁[b]表[Apply[Plus,Coefficient List[D[Apply[Plus,Table[a[n]][[m]]*x^(m-1),{m,1,Length[a[[n]]}],x],x]],{n,1,11}];
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交叉参考
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关键词
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非n,未经编辑的,标签
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作者
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状态
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经核准的
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