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math.NT2022
The appearance function for paper-folding words
Rob Burns
We provide a complete characterisation of the appearance function for paper-folding sequences for factors of any length. We make use of the software package {\tt Walnut} to establi…
math.NT2022
Factorials and Legendre's three-square theorem: II
Rob Burns
Let denote the set of integers such that cannot be written as a sum of three squares. Let denote . We establish an exact formul…