Dynamics of the iterated map $n \to 3n+1$ if $n$ is odd and $n \to \frac n2 $ if $n$ is even. Generalizations to $n \to 3n-1 $ or $ n \to 5n+1$ or even to $n \to pn+q$ . Other names are "$3x+1$-problem","syracuse problem". If you have a question, please be specific to your detail. MSE is not ...

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Generating sequences with specific characteristics

We are all familiar with pseudo-random sequences generated by various methods (BBS, Mersenne Twister, LCG, Von Neumann's middle square, RC4) and also the 'pseudo-random' sequence of powers of a ...