Bounded Dyck paths, bounded alternating sequences, orthogonal polynomials, and reciprocity

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of representation theory (05E10) Special sequences and polynomials (11B83) Polyominoes (05B50)

Cites Work

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Enumeration formulas for Young tableaux in a diagonal strip
Binomial determinants, paths, and hook length formulae
Enumeration of lattice paths and generating functions for skew plane partitions
Sets with a negative number of elements
Empilements de segments et \(q\)-énumération de polyominos convexes dirigés. (Heaps of segments and \(q\)-enumeration of directed convex polyominoes)
Some determinants of path generating functions. II
On dimer coverings of rectangles of fixed width
Ribbon Schur functions
Planar decompositions of tableaux and Schur function determinants
An alternative method for \(q\)-counting directed column-convex polyominoes.
Lectures in algebraic combinatorics. Young's construction, seminormal representations, \(\mathfrak{sl}(2)\) representations, heaps, basics on finite fields
Gaussian binomial coefficients with negative arguments
Outside nested decompositions of skew diagrams and Schur function determinants
Combinatorial problems of commutation and rearrangements
Sur les polynomes de Tchebicheff.
Asymptotics for random walks in alcoves of affine Weyl groups
Enumeration of area-weighed Dyck paths with restricted height
Lattice Path Enumeration
Plane partitions in the work of Richard Stanley and his school
Decompositions of Rational Convex Polytopes
Combinatorial Reciprocity Theorems
On the Vector Representations of Induced Matroids
Negative moments of orthogonal polynomials
Combinatorial reciprocity theorems
A reciprocity theorem for domino tilings
Permutations with restricted patterns and Dyck paths
Combinatorial reciprocity for non-intersecting paths

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