An area-to-inv bijection between Dyck paths and 312-avoiding permutations.
An asymptotic expansion for the Catalan-Larcombe-French sequence.
An asymptotic expansion for the number of permutations with a certain number of inversions.
An asymptotic formula in the theory of compositions.
An Asymptotic Formula in the Theory of Compositions. (Short Communication).
An Attempt at Frankl's Conjecture
An elementary proof of a congruence by Skula and Granville
Let be a prime, and let be the Fermat quotient of to base . The following curious congruence was conjectured by L. Skula and proved by A. Granville In this note we establish the above congruence by entirely elementary number theory arguments.
An Elementary Set Partition Problem.
An enumeration theorem for rooted graphs
An Enumerative Problem in Threshold Logic
An estimate for Frobenius' Diophantine problem in three dimensions.
An Eulerian partner for inversions.
An explanatory bijection of some properties of bridges. (Une bijection explicative de plusieurs propriétés de ponts.)
An exploration of the permanent-determinant method.
An extension of a criterion for unimodality.
An extension of Franklin's bijection.
An extension of the exponential formula in enumerative combinatorics.
An extension of the Foata map to standard Young tableaux.
An extension of the Ramanujan-Bailey formula. (Une extension d'une formule de Ramanujan-Bailey.)
An identity for fixed points of permutations.