Golombic and Levine sequences
Johan Claes, Roland Miyamoto
TL;DR
This paper explores and generalizes Levine sequences and related fast-growing sequences, developing an algebraic framework to understand their properties and connections, including sequences linked to Golomb's sequence.
Contribution
It introduces a unified algebraic theory for Levine and golombic sequences, expanding understanding of their growth and relationships.
Findings
Developed an algebraic framework for Levine sequences
Unified treatment of various fast-growing sequences
Revealed connections between Levine, golombic, and Golomb's sequences
Abstract
We investigate and generalise Levine sequences like A011784, A061892 and A061894 and develop an algebraic theory for them. We thereby also cover other fast growing sequences like A014644, which we call golombic due to their strong ties with Golomb's sequence A001462.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Rings, Modules, and Algebras · Advanced Combinatorial Mathematics