Two infinite families of terminating binomial sums

DOI10.1007/s10998-017-0190-3zbMath1399.05004OpenAlexW2738429302MaRDI QIDQ1705223

Ivica Martinjak

Publication date: 14 March 2018

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-017-0190-3

zbMATH Keywords

bijectionalternating sumweighted tilingsbinomial coefficient identity

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of tessellation and tiling problems (05B45)

Cites Work

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• Some new binomial sums related to the Catalan triangle
• A pretty binomial identity
• Sum of the reciprocals of the binomial coefficients
• Tiling proofs of recent sum identities involving Pell numbers
• Some divisibility properties of binomial and \(q\)-binomial coefficients
• A simple proof of the Zeilberger–Bressoud 𝑞-Dyson theorem
• All binomial identities are verifiable
• Two Extensions of the Sury's Identity
• A reciprocity theorem for domino tilings

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