A combinatorial interpretation of the area of Schröder paths.
A combinatorial interpretation of the eigensequence for composition.
A combinatorial interpretation of the numbers .
A combinatorial proof of a formula for Betti numbers of a stacked polytope.
A combinatorial proof of a result for permutation pairs
In this paper, a direct combinatorial proof is given of a result on permutation pairs originally due to Carlitz, Scoville, and Vaughan and later extended. It concerns showing that the series expansion of the reciprocal of a certain multiply exponential generating function has positive integer coefficients. The arguments may then be applied to related problems, one of which concerns the reciprocal of the exponential series for Fibonacci numbers.
A combinatorial proof of Louck's conjecture.
A combinatorial proof of Postnikov's identity and a generalized enumeration of labeled trees.
A combinatorial proof of the log-concavity of a famous sequence counting permutations.
A combinatorial representation with Schröder paths of biorthogonality of Laurent biorthogonal polynomials.
A common generalization of binomial coefficients, Stirling numbers and Gaussian coefficients.
A common generalization of binomial coefficients, Stirling numbers and Gaussian Coefficientes
A common generating function for Catalan numbers and other integer sequences.
A conjectured formula for fully packed loop configurations in a triangle.
A continued fraction expansion for a -tangent function.
A Contribution to the Theory of Permutations
A de Bruijn-type formula for enumerating patterns of partitions.
A direct bijective proof of the hook-length formula.
A Foata bijection for the alternating group and for -analogues.
A formula for the generating functions of powers of Horadam's sequence with two additional parameters.
A Generalization of Hanani's Theorem on Partial Order.