Extensions of Rowland's Prime-Generating Sequence Part 1

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Uploaded by on Jun 15, 2010

From A = B to Z = 60
Conference in Honor of Doron Zeilberger's 60th Birthday
Dennis Hou, Rutgers University
Title: Extensions of Rowland's Prime-Generating Sequence

Eric Rowland has shown for suitable (and possibly all) n that the sequence a(n)=a(n-1)+gcd(n,a(n-1)) in some sense naturally generates primes, and it appears to belong to a broader class of such recurrences. After surveying the variations of this sequence discovered by Benoit Cloitre and Vladimir Shevelev, we discuss some further generalizations of our own.

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