Three recurrences for parallelogram polyominoes
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Publication:4254704
DOI10.1080/10236199908808178zbMath0924.05017OpenAlexW2075684367MaRDI QIDQ4254704
Publication date: 10 November 1999
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236199908808178
generating functionparallelogram polyominoesCatalan numbersSchröder numbersNarayana numberspolynomial sequencesrecurrencescentral binomial coefficientssquare-triangular numbers
Exact enumeration problems, generating functions (05A15) Other combinatorial number theory (11B75) Polyominoes (05B50)
Related Items
The Narayana distribution ⋮ A unified approach to polynomial sequences with only real zeros ⋮ Recurrences for Callan's generalization of Narayana polynomials ⋮ Enumerating a class of lattice paths ⋮ Riordan paths and derangements ⋮ A bijection for the total area of parallelogram polyominoes ⋮ Bijective recurrences for Motzkin paths ⋮ Skew diagrams and ordered trees ⋮ \(U\)-parking functions and \((p,q)\)-parking functions ⋮ \(\gamma\)-positivity and partial \(\gamma\)-positivity of descent-type polynomials ⋮ Moments, Narayana numbers, and the cut and paste for lattice paths
Cites Work
- q-Catalan numbers
- Some \(q\)-analogues of the Schröder numbers arising from combinatorial statistics on lattice paths
- A classic proof of a recurrence for a very classical sequence
- Catalan path statistics having the Narayana distribution
- On the number of certain lattice polygons
- Hipparchus, Plutarch, Schroder, and Hough
- Applications of Linear Algebra in Calculus
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