JACOBSTHAL RECURRENT NUMBERS AS A PLATFORM FOR TRANSFORMATIONS K·Q±1
The paper investigates the role of Jacobsthal recurrent numbers in forming statistical patterns within the model of the natural number hypothesis q ϵ ℕ in the general problem of the form κ⋅q±1, where κ=1,3,5,…. A novel model is proposed for structuring the set of natural numbers as sequences of the form θ⋅2n, where the parameter θ takes odd values 1,3,5,…, and n is a natural number starting from zero.