mersenneforum.org collatz 3x+1
 User Name Remember Me? Password
 Register FAQ Search Today's Posts Mark Forums Read

 2020-07-02, 09:29 #1 enzocreti   Mar 2018 17×31 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) ?

 Similar Threads Thread Thread Starter Forum Replies Last Post Cybertronic Miscellaneous Math 4 2019-03-20 08:40 JM Montolio A Miscellaneous Math 10 2018-02-28 20:06 MattcAnderson MattcAnderson 16 2018-02-28 19:58 MattcAnderson MattcAnderson 4 2017-03-12 07:39 nibble4bits Math 1 2007-08-04 07:09

All times are UTC. The time now is 02:43.

Thu Jan 28 02:43:04 UTC 2021 up 55 days, 22:54, 0 users, load averages: 3.31, 2.72, 2.69