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approachwasusedin[6].) bytheuseofgeneratingfunctions,whereitisalsopossibletoderivealocallimitlaw.(Asimilar 2Themainpurposeofthispaperistoproveasymptoticnormality(ofthedistributionofXN) MICHAELDRMOTAANDJOHANNESGAJDOSIK<br />

2.1.FiniteRecurrences.Intherstcasewewillmakethefollowingassumptions: niteorinnitelinearrecurrences. 1.Thereexistnon-negativeintegersai,1ir,suchthat(forjr) InthepresentpaperwewilldealwithbasissequencesG=(Gj)j0whichsatisfyspecic Gj=rXi=1aiGj?i: 2.Results<br />

Insection3wewillshowthattheaboveassumptionsimplythatthecharactericticpolynomial 2.gcdfi1:ai6=0g=1. 3.Forallj>rand1k

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