Supplement to the Collatz Conjecture
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2018, Vol 15, Issue 0
Abstract
For any natural number was created the supplement sequence, that is convergent together with the original sequence. The parameter - index was defined, that is the same tor both sequences. This new method provides the following results: All natural numbers were distributed into different classes according to the corresponding indexes; The analytic formulas ( not by computer performed routine calculations) were produced, the formulas for groups of consecutive natural numbers of different lengths, having the same index; The new algorithm to find index for any natural number was constructed and proved.
Authors and Affiliations
Anatoliy Nikolaychuk
Keywords
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- EP ID EP651842
- DOI 10.24297/jam.v15i0.7876
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