collatz, a MATLAB code which computes the Collatz sequence.
The rules for generation of the Collatz sequence are recursive. If T is the current entry of the sequence, (T is assumed to be a positive integer), then the next entry, U is determined as follows:
Although the Collatz sequence seems to be finite for every starting point, this has not been proved. Over the range of starting values that have been examined, a great irregularity has been observed in the number of entries in the corresponding sequence.
The Collatz sequence is also known as the "hailstone" sequence or the "3n+1" sequence.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
collatz is available in a MATLAB version.
collatz_recursive, a MATLAB code which demonstrates recursive programming by considering the simple Collatz 3n+1 problem.
polpak, a MATLAB code which includes the routine collatz_count for counting the length of a Collatz sequence.
sequence_streak_display, a MATLAB code which can display a "streak plot" of a van der Corput sequence.