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arxiv: 1007.2676 · v1 · submitted 2010-07-15 · 🧮 math.CO

Certain Binomial Sums with recursive coefficients

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keywords coefficientsbinomialidentitiesrecursivesumsbinomialscertaincontaining
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In this short note, we establish some identities containing sums of binomials with coefficients satisfying third order linear recursive relations. As a result and in particular, we obtain general forms of earlier identities involving binomial coefficients and Fibonacci type sequences.

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