|
|
例子
|
此常数z的十进制展开式开始于：
z=10.8363086385325049431870358764271278765976859589534931。。。
z的简单连分式展开开始：
z=[10；1，5，9，5，1，9，5,1，9，1，5,9。。。，A321097型（n） ，…]；
使得6*z的简单连续分数膨胀开始：
6*z=[65；56、60、64、60、56、64、六十、五十六、64、五十六。。。，A321097型（n） +55，…]。
扩展条款。
z的十进制展开式中的前1000位是
z=10.83630863853250494318703587642712787659768595895349311\
73840509756931960001734110072237735215798152265637\
46033548966251275029451235255917154869550414547346\
45601898326659069509029896766448634581870902999261\
78291099037993947368425232025742840508201019811150\
20208289541868116590985746685817208034834182741861\
61586263073936595659616093596727391439370392218179\
08547782927594504604528661115974783060857978290729\
53554586787471663938331763610007750862560295292956\
22583160832720034539915220107654291931753328805663\
44405451280922502018454665640681719991329902449206\
06333718948414803434770198192597675071144159105469\
40129387536502210902718153383173369508615022733071\
21561771111264471719424048701509094587624798702003\
98051339274318126056502629341701820569809346581703\
17900710636878987844980734936343020769115171474588\
61969660741202379814909712010859009313616125172084\
48790047790048120552938902316397984428482656427316\
35549261064509815824229787948467548551187722067240\
97844304015886508690953002055508602378218606168521...
...
z的连分数的最初1020项是
z=[10；1,5,9,5,1,9,5A,1,9,1,5,9,15,95,1,5,10,9,10,5,15,9，
5,1,9,5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,1,5,9,5,1,9,1,5,9,5,1,9,
5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,1,5,9,5,1,9,1,5,9,5,1,9,5,1,9,
1,5,9,1,5,9,5,1,9,1,5,9,1,5,9,5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,
1,5,9,5,1,9,1,5,9,1,5,9,5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,5,1,9,
5,1,9,1,5,9,1,5,9,5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,1,5,9,5,1,9,
1,5,9,1,5,9,5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,1,5,9,5,1,9,1,5,9,
1,5,9,5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,1,5,9,
5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,1,5,9,5,1,9,1,5,9,1,5,9,5,1,9,
1,5,9,5,1,9,5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,1,5,9,5,1,9,1,5,9,
5,1,9,5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,1,5,9,5,1,9,1,5,9,5,1,9,
5,1,9,1,5,9,1,5,9,5,1,9,1,5,9,1,5,9,5,1,9,1,5,9,5,1,9,5,1,9,
1,5,9,5,1,9,5,1,9,1,5,9,1,5,9,5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,
5,1,9,5,1,9,1,5,9,1,5,9,5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,1,5,9,
5,1,9,1,5,9,1,5,9,5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,1,5,9,5,1,9,
1,5,9,1,5,9,5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,
1,5,9,5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,1,5,9,5,1,9,1,5,9,1,5,9,
5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,1,5,9,5,1,9,
1,5,9,5,1,9,5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,1,5,9,5,1,9,1,5,9,
5,1,9,5,1,9,1,5,9,1,5,9,5,1,9,1,5,9,1,5,9,5,1,9,1,5,9,5,1,9,
5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,1,5,9,5,1,9,1,5,9,5,1,9,5,1,9,
1,5,9,5,1,9,5,1,9,1,5,9,1,5,9,5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,
1,5,9,5,1,9,1,5,9,1,5,9,5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,1,5,9,
5,1,9,1,5,9,1,5,9,5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,5,1,9,5,1,9,
1,5,9,1,5,9,5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,1,5,9,5,1,9,1,5,9,
1,5,9,5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,1,5,9,
5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,1,5,9,5,1,9,
1,5,9,5,1,9,5,1,9,1,5,9,1,5,9,5,1,9,1,5,9,1,5,9,5,1,9,1,5,9,
5,1,9,5,1,9,1,5,9,1,5,9,5,1,9,1,5,9,1,5,9,5,1,9,1,5,9,5,1,9,
5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,1,5,9,5,1,9,1,5,9,5,1,9,5,1,9,
1,5,9,1,5,9,5,1,9,1,5,9,1,5,9,5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,
1,5,9,5,1,9,1,5,9,1,5,9,5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,5,1,9,
5,1,9,1,5,9,1,5,9,5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,1,5,9,5,1,9,
1,5,9,1,5,9,5,1,9,1,5,9,5,1,9,5,1,9,1,5,9,5,1,9,5,1,9,1,5,9, ...].
...
生成方法。
从CF=[10]开始，然后重复（PARI代码）：
{M=contfracpnqn（CF+向量（#CF，i，55））；
z=（1/6）*M[1,1]/M[2,1]；CF=控制（z）}
该方法可以如下所示。
z0=[10]=10；
z1=（1/6）*[65]=[10；1，5]=65/6；
z2=（1/6）*[65；56，60]=[10；1，5，9，5，1，9，6]=218525/20166；
z3=（1/6）*[65；56、60、64、60、56、64、61]=[10；1、5、9、1、9、9、1,5、9,1、5,9、5,1、9,5、1,9、1,5、10]=30617277049665/2825434201901；
z4=（1/6）*[65；56，60，64，60，56，64，6056，56，56第五、九、一、五、九、五、一、九、一五、九五、五、一九、一十条] = 235326213809918755668077578309692661245/21716455451732827969266335806481498321;
其中，常数z等于上述过程的迭代极限。
|
