scientific article; zbMATH DE number 6989305
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Publication:4561333
zbMath1408.11007MaRDI QIDQ4561333
Catherine Kublik, Paul W. Eloe
Publication date: 5 December 2018
Full work available at URL: https://cs.uwaterloo.ca/journals/JIS/VOL21/Kublik/kublik2.html
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Catalan numberfinite difference schemegenerating functionrecurrence relationMotzkin numberexplicit formulageneralized Motzkin number
Exact enumeration problems, generating functions (05A15) Binomial coefficients; factorials; (q)-identities (11B65) Recurrences (11B37) Iteration theory, iterative and composite equations (39B12) Numerical aspects of recurrence relations (65Q30)
Cites Work
- Congruences involving generalized central trinomial coefficients
- Two explicit formulas for the generalized Motzkin numbers
- Staircase tilings and \(k\)-Catalan structures
- Catalan numbers, their generalization, and their uses
- Catalan, Motzkin, and Riordan numbers
- Reduced decompositions of permutations in terms of star transpositions, generalized Catalan numbers and \(k\)-ary trees
- ON THE (n, k)-TH CATALAN NUMBERS
- Motzkin Numbers: an Operational Point of View
- Catalan Numbers
- Motzkin numbers, central trinomial coefficients and hybrid polynomials
- Relations between hypersurface cross ratios, and a combinatorial formula for partitions of a polygon, for permanent preponderance, and for non-associative products
- Motzkin numbers
- Motzkin numbers
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