2020-07-02, 09:29 | #1 |
Mar 2018
527_{10} Posts |
collatz 3x+1
I found a forumula about the 3x+1 problem
let be T(k,n) the trajectory starting from integer n. k is the number of iterations T(0,n)=n i think T(k,n)=n*lambda(k,n)+rho(k,n) how to proof that? where lamba(k,n)=(3^(x(0,n)+...+x(k-1,n))/2^k x(0,n)...is the parity vector of 1's and 0's, 1 if x(i,n) is odd and 0 if it is even rho is a sum from i=0 to k-1 of x(i,n)*((3^(x(i+1),n)+...+x(k-1,n))/2^(k-i) ? |
Thread Tools | |
Similar Threads | ||||
Thread | Thread Starter | Forum | Replies | Last Post |
Collatz 3x+1 problem | Cybertronic | Miscellaneous Math | 4 | 2019-03-20 08:40 |
A new aproach to C.Collatz. 3n+1... | JM Montolio A | Miscellaneous Math | 10 | 2018-02-28 20:06 |
this thread is for a Collatz conjecture again | MattcAnderson | MattcAnderson | 16 | 2018-02-28 19:58 |
Collatz conjecture | MattcAnderson | MattcAnderson | 4 | 2017-03-12 07:39 |
Related to Collatz conjecture | nibble4bits | Math | 1 | 2007-08-04 07:09 |