Combinatorial proofs of various \(q\)-Pell identities via tilings

DOI10.1007/s00026-011-0067-8zbMath1233.05037OpenAlexW2004094032MaRDI QIDQ659602

James A. Sellers, Karen S. Briggs, David P. Little

Publication date: 24 January 2012

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00026-011-0067-8

zbMATH Keywords

combinatorial identitiestilingsPell numbers\(q\)-enumeration

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of tessellation and tiling problems (05B45) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (6)

A multi-parameter generalization of the symmetric algorithm ⋮ A combinatorial proof of an identity of Ramanujan using tilings ⋮ Congruences for \(q\)-Lucas numbers ⋮ On a four-parameter generalization of some special sequences ⋮ A tiling approach to eight identities of Rogers ⋮ Restricted partitions and \(q\)-Pell numbers

Cites Work

• Unnamed Item
• Tiling proofs of recent sum identities involving Pell numbers
• \(q\)-Pell sequences and two identities of V. A. Lebesgue

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