Generalization of an Identity of Andrews

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dc.creatorBrietzke, Eduardo H. M.
dc.date2006-04-12
dc.date2006-10-05
dc.date.accessioned2026-07-07T07:10:50Z
dc.date.available2026-07-07T07:10:50Z
dc.descriptionWe consider an identity relating Fibonacci numbers to Pascal's triangle discovered by G. E. Andrews. Several authors provided proofs of this identity, all of them rather involved or else relying on sophisticated number theoretical arguments. We not only give a simple and elementary proof, but also show the identity generalizes to arrays other than Pascal's triangle. As an application we obtain identities relating trinomial coefficients and Catalan's triangle to Fibonacci numbers.
dc.description8 pages, corrected typos, added references
dc.identifierhttps://arxiv.org/abs/math/0604280
dc.identifierhttp://arxiv.org/abs/math/0604280
dc.identifierFibonacci Quarterly 44, May 2006, 166-171
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111544
dc.subjectCombinatorics
dc.subjectNumber Theory
dc.subject11B39 ; 05A19
dc.titleGeneralization of an Identity of Andrews
dc.typetext

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