Collatz conjecture Demonstration of the relationship between the numbers of even and odd steps before reaching 1, and the initial odd value of a Collatz sequence that converges

Autor: Baleh, Farid
Přispěvatelé: Baleh, Farid, Auteur indépendant
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: In press
Popis: International audience; The relationship between the numbers of even steps (P), the number of odd steps (I) and the odd initial value u0 of a compressed Collatz sequence that converges is as follows:I+P= E[log2⁡((3^I)*u0)]+1Where:E(x) is the integer part of the real number x;log2(x) is the base two logarithm of the real number x;E[log2⁡(u0)] is the exponent of the biggest power of 2 that is strictly less than the odd natural number u_0;I+P is the total stopping time of the compressed sequence.
Databáze: OpenAIRE