Canonical characters on quasi-symmetric functions and bivariate Catalan numbers.
Cardinalities of D-classes in Bn.
Cardinality of Rauzy classes
Rauzy classes form a partition of the set of irreducible permutations. They were introduced as part of a renormalization algorithm for interval exchange transformations. We prove an explicit formula for the cardinality of each Rauzy class. Our proof uses a geometric interpretation of permutations and Rauzy classes in terms of translation surfaces and moduli spaces.
Catalan traffic at the beach.
Catalan-Zahlen und Wege in einem ganzzahligen Gitter.
Categorical Convolutional Formulas.
Character polynomials, their -analogs and the Kronecker product.
Chess tableaux.
Chromatic statistics for triangulations and Fuß-Catalan complexes.
Chung-Feller property in view of generating functions.
Circulants and the factorization of the Fibonacci–like numbers
Several authors gave various factorizations of the Fibonacci and Lucas numbers. The relations are derived with the help of connections between determinants of tridiagonal matrices and the Fibonacci and Lucas numbers using the Chebyshev polynomials. In this paper some results on factorizations of the Fibonacci–like numbers and their squares are given. We find the factorizations using the circulant matrices, their determinants and eigenvalues.
Circular digraph walks, -balanced strings, lattice paths and Chebychev polynomials.
Classifying descents according to equivalence .
Coding parking functions by pairs of permutations.
Coefficients of functional compositions often grow smoothly.
Combinatorial analysis of quicksort algorithm
Combinatorial enumeration of ragas (scales of integer sequences) of Indian music.
Combinatorial interpretation of generalized Stirling numbers.
Combinatorial interpretations for rank-two cluster algebras of affine type.
Combinatorial interpretations of binomial coefficient analogues related to Lucas sequences.