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. For the first time, the Сollatz problem is considered from the point of view of Shannon-Hartley information entropy behavior. It is also shown for the first time that the Сollatz trajectory is a one-dimensional graph on a kind of two-dimensional lattice of recurring Jacobsthal numbers.
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