Transformations Integer Sequences And Pairing Functions
Boris Putievskiy

TL;DR
This paper introduces new methods for generating integer sequences using Cantor diagonalization, including modifications and generalizations, with explicit formulas provided for these new families.
Contribution
It presents novel procedures for creating and generalizing integer sequences based on Cantor diagonalization, expanding the toolkit for sequence construction.
Findings
Explicit formulas for new integer sequence families
Generalized methods for sequence creation
Enhanced understanding of pairing functions
Abstract
We propose several procedures for creating new families of integer sequences based on the method of Cantor diagonalization. Then we modify and generalize this method. The paper includes explicit formulas for most proposed families of integer sequences.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Advanced Mathematical Theories · semigroups and automata theory
