Year: 2023
Type: preprint
Abstract: We intend to contribute to the Collatz dynamics problem by seeking to analyze the Collatz conjecture from the tree of numbers sequences. First, we show numerically that the distribution of odd numbers has an initial transient, and proceeds to a power law growth to its maximum. Second, using the formulation that uses only odd numbers, we present analytically a set of odd number sequences that is always increasing and can have an infinite number of terms.
Source: arXiv (Cornell University)
Author: Souza, Eduardo M. K.
Institution: Universidade Federal de Sergipe
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4378501668