Generating functions and generalized Dedekind sums.
Symmetric inclusion-exclusion.
The polynomial part of a restricted partition function related to the Frobenius problem.
The Tutte polynomial of a graph, depth-first search, and simplicial complex partitions.
Enumeration of tilings of diamonds and hexagons with defects.
A triple lacunary generating function for Hermite polynomials.
A refinement of Cayley's formula for trees.
The generating function of ternary trees and continued fractions.
A combinatorial interpretation of the numbers .
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