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Collatz Sequence: Negative Parity Invariance, Saturation Point, and Cycles

Year: 2025

Type: article

Abstract: In this paper, we consider the Collatz sequence, i.e., the discrete 3n+1 or the (3n+1)/2 sequence, where it is known that the presence of at least one cycle is guaranteed, given by (1421) and (121), respectively. The above sequence is noted to lack parity invariance, and the new related sequence has no saturation point.

Source: Journal of research in applied mathematics.

DOI: 10.35629/0743-11043641

Authors: Danilo Merlini, Luca Rusconi, Massimo Sala, Nicoletta Sala

Language: English

Topic: Advanced Mathematical Theories

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4410177203

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