A simple proof of the Wirsching-Goodwin representation of integers connected to 1 in the $3x+1$ problem
| Autor: | Daudin, Jean-Jacques, Pierre, Laurent |
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| Rok vydání: | 2018 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | This paper gives a simple proof of the Wirsching-Goodwin representation of integers connected to 1 in the $3x+1$ problem (see \cite{Wirsching} and \cite{Goodwin}). This representation permits to compute all the ascending Collatz sequences $(f^{(i)}(n),\: i=1,b-1)$ with a last value $f^{(b)}(n)=1.$ Other periodic sequences connected to $1$ are also identified. |
| Databáze: | arXiv |
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