Counting peaks at height k in a Dyck path

Counting perfect colourings of plane regular tilings

Counting perfect matchings of cubic graphs in the geometric dual

Counting permutations by congruence class of major index

Counting permutations by their runs up and down

Counting permutations with no long monotone subsequence via generating trees and the kernel method

Counting points of slope varieties over finite fields

Counting polyominoes with minimum perimeter

Counting rises, levels, and drops in compositions

Counting Rooted Trees: The Universal Law t(n) ~ C ρ^{-n} n^{-3/2}

Counting Self-Dual Interval Orders

Counting set systems by weight

Counting sets with small sumset, and the clique number of random Cayley graphs

Counting Shi regions with a fixed separating wall

Counting spanning trees of the hypercube and its $q$-analogs by explicit block diagonalization

Counting stabilized-interval-free permutations

Counting strongly-connected, sparsely edged directed graphs

Counting subspaces of a finite vector space

Counting substructures I: color critical graphs

Counting substructures II: triple systems