scientific article; zbMATH DE number 6861073

zbMath1390.11035MaRDI QIDQ4637125

Tian-Xiao He, Wun-Seng Chou, Peter Jau-Shyong Shiue

Publication date: 18 April 2018

Full work available at URL: https://cs.uwaterloo.ca/journals/JIS/VOL21/He/he61.html

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zbMATH Keywords

Catalan numberprime numberballot numberFuss-Catalan numbergeneralized Fuss-Catalan numberLobb number

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Recurrences (11B37) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (2)

Generalized Delannoy matrices and their combinatorial properties ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Polygonal dissections and reversions of series
• Fuss-Catalan numbers in noncommutative probability
• Chain enumeration and non-crossing partitions
• Enumeration of planar constellations
• Polygon dissections and Euler, Fuss, Kirkman, and Cayley numbers
• Parametric Catalan numbers and Catalan triangles
• Raney distributions and random matrix theory
• Fuss-Catalan matrices, their weighted sums, and stabilizer subgroups of the Riordan group
• On generating functions of Hausdorff moment sequences
• Generalized noncrossing partitions and combinatorics of Coxeter groups
• Catalan Numbers

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