Research Collatz odd sequence, change (× 3+1)÷2ᵏ operation in Collatz Conjecture to (× 3+2ᵐ-1)÷2ᵏ operation. Build (× 3+2ᵐ-1)÷2ᵏ odd tree model and transform position model for odds in tree.Via comparing actual and virtual positions, prove if a (× 3+2ᵐ-1)÷2ᵏ odd sequence can not converge after infinite steps of (× 3+2ᵐ-1)÷2ᵏ operation, the sequence must walk out of boundary of the tree.
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baoyuan duan (2024) studied this question.
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