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20102026
most citedOn a variant of Pillai's problem

21 citations · 52 across the 30 of their papers we have counts for

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math.NT2010

On Arithmetic Progressions in Recurrences - A new characterization of the Fibonacci sequence

Akos Pinter, Volker Ziegler

We show that essentially the Fibonacci sequence is the unique binary recurrence which contains infinitely many three-term arithmetic progressions. A criterion for general linear re…