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math.GM2024
Using binary string to prove the Collatz conjecture
Jishe Feng
We introduce a full binary directed tree structure to represent the set of natural numbers, further categorizing them into three distinct subsets: pure odd numbers, pure even numbe…
math.GM2020
The explicit formula of Hankel determinant with Catalan elements
Jishe Feng
Applying Johann Cigler's Hankel determinant formula in terms of the binomial coefficient determinants, which is simplified from Christian Krattenthale's, we get an explicit formula…