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Results tagged with collatz-conjecture
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The Collatz Conjecture, also known as the 3n+1 conjecture, is a famous open problem named after Lothar Collatz.
10
votes
Accepted
For which primes does this iterated function act transitively? (Sort of a finite analogue of...
It's easier to work with the inverse permutation. Starting from $1$ and working backwards we end up with a sequence $1=2^0\to \pm 2^1\to \pm 2^2\to \cdots \to\pm 2^{\frac{p-1}{2}}=1$. Where the signs …
- 85.5k
17
votes
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Possible behaviors of integer sequences that arise from powering nonnegative integer matrices
The answer is "no" for both questions.
The rational functions $a_0+a_1x+a_2x^2+\cdots$ with non-negative integer entries which can be obtained by $a_n=u^{T}A^nv$ for some nonnegative vectors $u,v$ a …
- 85.5k