Collatz猜想中的同高连续数对族

Family of Consecutive Integer Pairs of the Same Height in the Collatz Conjecture

在Collatz猜想中 ,有些连续整数具有相同的高 ,本文特别研究了同高连续数对 ,发现自然数中有无限多同高连续数对族且以各种不同的形式出现 .

In the Collatz conjecture, certain runs of consecutive integers have the same height.In particularly in this paper,pairs of consecutive integers of the same height are investigated.It is found that familys of consecutive integer pairs of the same height occur infinitely often and in different patterns.