SORRY, CORRECTION!!!!
Set a=6 - 4sqrt(2), y=Sqrt(2) - 1, n=0, 1, 2, 3.........etc. Iterate the following..........
y=[1 - (1 - y^4)^1/4] / [ 1 + (1 - y^4)^1/4], then:
a=a(1 + y)^4 - [2^(2n+3). y(1 + y +y^2)]..........converges to what?.
+118723 You already asked this question here
http://web2.0calc.com/questions/convergence-to-what
Was the first one incorrect?
Why didn't you continue it over there - you can do that with a new post that gives the address of the old post. Like I just di.
You are obviously old enough and intelligent to learn. Please do not do this again. 
1st. iteration:0.3183098869 3116115102 9133158227 1859818425 3271454241 5867324370 79998
2nd.iteration:0.3183098861 8379067153 7767526745 0287240689 2483588666 9511161849 04229
It is obvious that this formula converges very rapidly to 1/pi. While the 1st. iteration has only about 8 accurate digits, the 2nd. iteration has no less than 40 accurate digits of 1/pi. It is converging quartically, or order 4. That is, each iteration quadruples the accurate number of digits of 1/pi.
+118723 You already asked this question here
http://web2.0calc.com/questions/convergence-to-what
Was the first one incorrect?
Why didn't you continue it over there - you can do that with a new post that gives the address of the old post. Like I just di.
You are obviously old enough and intelligent to learn. Please do not do this again.
