REFLECTION OF THE 3q±1 PROBLEM ON THE JACOBSTHAL MAP
The work shows that the task is the problem C3q±1=3q±1 conjecture positive integers q>1in the reverse direction n→0 of the branching of the Jacobsthal tree, according to the rules of transformations of recurrent Jacobsthal numbers. For the first time, the Collatz problem is analyzed from the point of view of the increase in information entropy after the passage of the so-called fusion points (nodes) on the polynomials θ*2n by the Сollatz trajectories.