-adic analysis and Bell numbers of two variables. (Analyse -adique et nombres de Bell à deux variables.)
-adic analysis and classical sequences of numbers. (Analyse -adique et suites classiques de nombres.)
-partitions and a multi-parameter Klyachko idempotent.
Packing densities of patterns.
Packing patterns into words.
p-adic valuations of some sums of multinomial coefficients
Parameter augmentation for two formulas.
Parametric production matrices and weighted succession rules: a Dyck path example.
Parity indices of partitions
Parity of the partition function.
Parity results for broken k-diamond partitions and (2k+1)-cores
Parity theorems for statistics on domino arrangements.
Parity theorems for statistics on lattice paths and Laguerre configurations.
Parity theorems for statistics on permutations and Catalan words.
Parity-alternating permutations and successions
The study of parity-alternating permutations of {1, 2, … n} is extended to permutations containing a prescribed number of parity successions - adjacent pairs of elements of the same parity. Several enumeration formulae are computed for permutations containing a given number of parity successions, in conjunction with further parity and length restrictions. The objects are classified using direct construction and elementary combinatorial techniques. Analogous results are derived for circular permutations....
Parking functions and noncrossing partitions.
Parking functions of types A and B.
Parking functions, stack-sortable permutations, and spaces of paths in the Johnson graph.
Partial Bell polynomials and inverse relations.
Partial complements and transposable dispersions.