Restricted partitions and \(q\)-Pell numbers

DOI10.2478/s11533-011-0002-6zbMath1238.05021OpenAlexW2073889619MaRDI QIDQ539195

Mark Shattuck, Toufik Mansour

Publication date: 27 May 2011

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-011-0002-6

zbMATH Keywords

inversionpattern avoidance\(q\)-generalizationPell numbercomajor index

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Partitions of sets (05A18)

Related Items

Some computational formulas related the Riemann zeta-function tails ⋮ The infinite sum of the cubes of reciprocal pell numbers ⋮ The infinite sum of reciprocal Pell numbers ⋮ Summing a family of generalized Pell numbers ⋮ Some identities related to Riemann zeta-function

Uses Software

• OEIS

Cites Work

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• Combinatorial proofs of various \(q\)-Pell identities via tilings
• Avoidance of partitions of a three-element set
• On pattern-avoiding partitions
• Tiling proofs of recent sum identities involving Pell numbers
• \(q\)-Pell sequences and two identities of V. A. Lebesgue
• On \(abab\)-free and \(abba\)-free set partitions
• Some properties of sums involving Pell numbers
• Restricted permutations