FROM NEWTON'S BINOMIAL AND PASCAL’S TRIANGLE TO СOLLATZ'S PROBLEM
It is shown that: 1. The sequence {20,21, 22, 23, 24, 25, 26, 27,28,...} that forms the main graph m=1 of Collatz is related to the power transformation of Newton's binomial (1+1)ξ, ξ=0, 1, 2, 3,... 2. The main Kmain and side m >1 graphs and their corresponding sequences {Kmain } and {Km } are related by the relation {Km }=m⋅{Kmain }. 3.