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Some aspects of interchanging difference equation ordersShannon, Anthony G.Ozkan, EnginArbitrary order recurrence relationsPrimordial sequencesVandermonde determinantsPRIMALITY TESTSCUBIC EXTENSIONMathematicsThis paper builds on Roettger and Williams' extensions of the primordial Lucas sequence to consider some relations among difference equations of different orders. This paper utilises some of their second and third order recurrence relations to provide an excursion through basic second order sequences and related third order recurrence relations with a variety of numerical illustrations which demonstrate that mathematical notation is a tool of thought.BULGARIAN ACAD SCIENCE2022Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/16834https://doi.org/10.7546/nntdm.2022.28.3.507-5161310-5132enNOTES ON NUMBER THEORY AND DISCRETE MATHEMATICSinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/16834